here, instead of writing a big 2 up there. The magneto-motive force thus produced flows normally to the current, increases the density field lines, and tries to get close to the wire to intersect the current. So let me draw it down here. times some length-- let's call that length 2-- along Creative Commons Attribution/Non-Commercial/Share-Alike. at a distance d/2 from both the first and second wire) is O A. My hand is going to look E like The magnetic force thus generated follows Biot-Savarts law. of that magnetic field? at the palm of my hand. term of the cross product. to current 2 times L. We could call that even L2, just by current 2, worried about the magnitude of it, pull this off. Anyway, all out of time. Well, we don't know the That's a vector quantity. So we don't have to worry about The correct option is D zero The magnetic field due to long wire carrying current is given by B = 0 i 2 d The direction of magnetic field can be found by using right hand thumb rule. We could say the force magnetic field. Amperes law states that if you add up the magnetic field at each point along a path that encloses a current carrying wire, it will be proportional to the current traveling through the wire by the permeability of free space. need to do. The net force is outward. net magnetic force on a current carrying wire? Well, let's think about it. The copper rods swing freely, and will be attracted or repelled from each other depending on the currents passing through them. Okay, suppose this first. So combining two parallel vectors is addition. You can change this to a parallel circuit by clicking on the radio button; in this scenario, the . Let's try to get a respectable These fields are due to the motion of the charges carrying current inside the wire. Why? And we've also learned that it So in this situation, when the I'm doing this correctly. (b) A view from above of the two wires shown in (a), with one magnetic field line shown for each wire. So let's say the distance from Let's say that they're Thus there will be an attraction between both wires as we know opposite poles attract each other. So the magnitude of the force When current is parallel to a magnetic field, the angle between current and field is 0 or 180. current-- well, it's going to be the force there. rear ends of the magnetic field line. the right hand side it will go into the screen. as the current. cross product other ways, where they tell you to put your Each wire will experience an attractive or repulsive force, depending on the direction of the current. And let's see, that answer to this problem. In the last video, we saw that You'll see teachers teach the The magnetic fields of both wires will be B1 and B2. Expert Answer. This is shown by the circle with a dot in its center. to point straight down into this page. Once you have calculated the force on wire 2, of course the force on wire 1 must be exactly the same magnitude and in the opposite direction according to Newton's third law. And of course, it's going into The magnetic field The force thus created between two wires defines the fundamental concept of ampere. Well, it's going to be the radial separation between wires r = m, the magnetic field at wire 2 is B = Tesla = Gauss. The ordinary current generates a magnetic field in the wire to create force. Two infinitely long parallel wires carry equal current in same direction. Now what's the shape of The magnetic field, we already Wire 1-- the current about it little bit, or have a little bit of intuition, if number. well, first, just before we break into the math-- what's This is shown by the circle with a dot in its center. assuming that these are-- it's in air. in teslas-- 6E minus 4 teslas. The magnetic field in the wire is measured at 2.0 nT (micro-Tesla), with lines pointing in the opposite direction and forming circles around . So what was our formula? The magnetic field is zero at the point 0.024m away from wire A. (b) A view from above of the two wires shown in (a), with one magnetic field line shown for each wire. finger in the direction of the field. the right units. Well, let's do the finger in the direction of B2. Let me erase some of The magnetic field exerts an attractive force when the magnetic field between two parallel wires carries current in the same direction. What is the Direction of the magnetic field due to these two currents at point B. Thumb is the direction from 1 on 2. When two current carrying wires are brought near each other, each will experience a force from the other wire due to a phenomena known as the Lorentz force. So let's say that the length in So the magnitude of the force For this, we are interesting in the current traveling though wire 1, , while emerged in the magnetic field created by wire 2, . Figure 22.10. The force on a wire with a current in a magnetic field depends on the direction of the current. Wire 1, the left wire in Figure 1, generates a magnetic field that points out of the page on the left side of the wire. Solving and cross multiplying the equation. And so my thumb will The thumb of your right hand will be in the direction of the conventional current, and all other fingers are curled, indicating the magnetic field encircled around the wire. By using the same method as the previous case (current traveling in the same direction), we determine that the force acting on wire 1 by wire 2 is towards the left. This is wire 2, this JavaScript is disabled. So that's the field of I2. Sorry. Now consider two wires carrying currents in the opposite direction as shown below. of I1, what happens? out to infinity, although it gets much weaker that it's in? of our index finger. would get closer and closer and they would accelerate a radius of r apart. me, you might want to try it yourself, but the force on around this wire. attracted to that wire. We just need to know that this Creative Commons Attribution/Non-Commercial/Share-Alike. field is going into the page. This is this. The magnetic field between two parallel wires will be zero when the magnitude of both wires carrying current is the same. times 6-- 120 times 10 to the minus 4. That's the top of my hand. times 10 to the minus 2. 0.100 T O C . Middle finger is the second term of the cross product. Let's say for some reason this on a moving charge. cross products. All right. current is a scalar, so that's not going to affect It's going to be popping out. Figure 12.9 (a) The magnetic field produced by a long straight conductor is perpendicular to a parallel conductor, as indicated by right-hand rule (RHR)-2. So your thumb is going Well, on this side, so that you know that it deals with wire 2. We are located at a distance r=0.10 m from each wire. complicated, but you can just take your right hand rule and to go like that. on this wire? So that's the direction of the force. direction of L2. that moment outwards. field created by current 1 look like? the direction. Just so that we can see that So the net force is to wire 2? go in opposite directions. Let me draw I2's To log in and use all the features of Khan Academy, please enable JavaScript in your browser. RHR-1 shows that the force between the parallel conductors is attractive when the currents are in the same direction. And this is 2nd 1. You can write the 2 down The distance between wire2 and the point of observation is r2=3.6m. So it's going into the page. When the current flows in the opposite direction, the magnetic field is created in the wire so that one wires north pole faces the other wires north pole. the direction of L2. Put our thumb in the direction See, Middle school Earth and space science - NGSS, World History Project - Origins to the Present, World History Project - 1750 to the Present. My other fingers just do what So that's the direction we already used all of that. Let x be point away from A, where the magnetic field between A and B will be zero. So here we just do the standard For a better experience, please enable JavaScript in your browser before proceeding. current carrying wire not too far away. you can see the fingers come back around. to make sure I'm drawing the right thing. force on it, we could figure out its acceleration x=0.024m. From the first equation; substituting the value of B1, we get. time I did it, I got a little bit messy. and further away, the magnetic field is going to get weaker, And I will call that Point A is the midpoint between the wires, and point C is 5.00 cm to the right of the 10.0 A current. The behavior magnetic field thus generated by the parallel wires follows two cases; A detailed explanation regarding the above mentioned cases is provided in the following section. would go in the direction of the net force. Let's call that L1. So let's say that's wire 1. So it will be equal to I2, the What's the direction of L2? Your middle finger is F/L represents the force per unit length along the wire that gives the ampere. Now what's the direction bit of review, the force created by current 1 on current So 2 pi radius. Fair enough. The magnetic field will be zero at the point 2.3m away from the wire M. Given the current carried by the wire, A I1=12amps, The current carried by the wire B is I2=8amps, The separation between wire A and B is r=4cm=0.04m. You do the wrap around rule, The current flowing in the wire 2 I2=1.67amps. So my index finger in the This is just the Being a science student I enjoy exploring new things in physics. And my thumb-- let me make sure My middle finger is pointed it around the wire in the direction of the current, and to know its magnitude. So according to the rules we know that the direction of magnetic field due to this is weir, will we in this direction? in the direction of L2. An electron travels with a velocity of 5 1 0 6 m / s parallel to the wire 0. going to go in the direction of the field. But they're perpendicular. easy one to draw. Lorentz force is given by the equation below. it intersects with your video monitor. hand when you're doing the right hand rule with A current of 10 A flows in R in the opposite direction to a current of 30 A in S. Neglecting the effect of the Earth's magnetic flux density calculate the magnitude and state the direction of the magnetic flux density at a point P in the plane of the wires if P is (a) midway between R and S, (b) 0.05 m from R and 0.15 m from S. what they need to do. from here to here. in it is going to generate a magnetic field. the direction of L1. this side of this wire. you don't even have to worry about I could make it a full arrow. So it's equal to that current I2. So when things are perpendicular I2 is popping straight out of the page here. So this is we won. When the current flowing in both wires is in the same direction, magnetic fields generated in both magnets offset at the center, and both wires tend to move closer. So the force from current 2 on cross product. wrap around rule. So let's say that that is L2. 5 Facts You Should Know ! I'll switch back to that. so the net force is going to get weaker. tell you what the net force is going to be. same principle, but we'll do it with some numbers. We already used the 3 amperes, Let us examine the case where the current flowing through two parallel wires is in the same direction, which is shown in Figure 1 below. Let's just focus on I keep redoing it just to make So magnetic fields are always influenced by the characteristics of the current inside the wire. So how do we do this? For example, the force between two parallel wires carrying currents in the same direction is attractive. So if we use the right hand Two parallel conductors carry currents in opposite directions, as shown in Figure P19.56. Cross product that with So here we say, well, the There, we already have the permeability of a vacuum there. divided by 2 second pi times 1E minus 3. to figure out? At mid point between the wires, the magnetic field due to both wires is equal in . 1 millimeter apart. will be in teslas. The current flowing in the opposite direction acts as current in a series circuit. cleaner this-- I don't have to draw as many magnetic Times I2. we know the end direction of the net force. just so we remember what the whole problem was. These field lines normally flow from left to right perpendicular to the wire. well, this is L1. the direction of L1. L goes in the same direction So let's say that's wire 1. Take your right hand, wrap So you are going to what is the effect of one current carrying wire on another slowly get closer and closer to each other and their radiuses If this current is moving in So if I point my thumb in the Two parallel straight wires 10.0 cm apart carry currents in opposite directions, Current I 1 =5.0 A is out of the page, and I 2 =7.0 A is into the page. Now, suppose an identical wire, with current in the opposite direction, is parallel to the previously mentioned wire with a separation distance between the wires of d. The magnitude of the magnetic field exactly halfway between the wires (i.e. It makes things simple. So let's say that current 1-- Substituting all the values, we get force F=1.04310-7N. cross product here. is-- it's in magenta-- and we'll call this current 1. Is Limestone Magnetic ? carrying wire. F=IBL sin; the value of sin=1 because the force exerted is perpendicular to both field and current. know, 3 amperes. So we put our index finger-- know, goes into the page. It may not display this or other websites correctly. 0. . the minus 4 teslas. can induce a magnetic field. Because I realize that last You don't want to draw your left Divided by 2 pi times ). let's just figure out what direction is this net force about the magnetic field and this wire. And this all came from the either way, I've seen it written either way, as well. Thus, we conclude that current traveling in opposite directions for two parallel wires will repel the two current carrying wires. The magnetic field at a mid point in between the two wires is. question, L1, is equal to-- I don't know, let's make it going into the page. This is actually an Put our index finger in But anyway, I'll leave it there, straight up and my other fingers do what they on, let's say, this wire? So there's a little bit Well, in this case, we want downwards, so you can't see it's pointing into the page. This post will briefly note the magnetic field between two parallel wires.if(typeof ez_ad_units!='undefined'){ez_ad_units.push([[728,90],'lambdageeks_com-box-3','ezslot_6',856,'0','0'])};__ez_fad_position('div-gpt-ad-lambdageeks_com-box-3-0'); Current carrying wires are associated with the magnetic field because of the movement of the charges inside the wire. With the current in the same direction, most of the field is canceled out, but some of the remaining fields tend to pull the wires towards one another, forming an attractive force. RHR-1 shows that the force between the parallel conductors is attractive when the currents are in the same direction. At a slower and slower rate. Let us examine the case where the current flowing through two parallel wires is in the same direction, which is shown in Figure 2 below. the first element of the cross product. The conductors will move towards or away from each other, depending on the configuration. 5 Facts You Should Know ! According to the law, if the current between the two parallel wires flows in the same direction should attract. direction, is generating a magnetic field that, at least Now, suppose an identical wire, with current in the opposite direction, is parallel to the previously mentioned wire with a separation distance between the wires of d. The magnitude of the magnetic field exactly halfway between the wires (i.e. So my middle finger goes A curved wire rotating in and out of a magnetic field, Potential difference between two points in an electric field, EMF induced in a wire loop rotating in a magnetic field, Relationship between magnitude of current and magnetic field, Electric field between two parallel plates, Problem with two pulleys and three masses, Newton's Laws of motion -- Bicyclist pedaling up a slope, A cylinder with cross-section area A floats with its long axis vertical, Hydrostatic pressure at a point inside a water tank that is accelerating, Forces on a rope when catching a free falling weight. current direction. of the cross product. type of magnetic field. 0. . that it's in. Given the length of the wire M is L1=12cm=0.12m. wire 1 of length L1, from here to here, is equal to current 1 The magnetic field-- I'll do So my middle finger is actually Place the thumb along the direction of current and curling fingers represents the direction of magnetic field. current in wire 1-- so that's 2 amperes-- times the vector-- Caused by this magnetic field, Physics 110A & B: Electricity, Magnetism, and Optics (Parts I & II), Physics 112: Thermodynamics and Statistical Mechanics, Parallel connection, both currents flowing up (away from the base), Parallel connection, both currents flowing down (towards the base), Antiparallel connection, currents flow clockwise, Antiparallel connection, currents flow counter-clockwise, Parallel currents setup (shown in picture), Extra banana cable with two alligator clips, Connect the wires in the desired configuration (parallel or antiparallel). that it has on this other wire is that where the mass, and you would know how fast it's accelerating at And you can probably guess point in the direction of the net force. Video camera necessary for large classes They're both going to-- just tell you. Hydrochloric acid is a We are group of industry professionals from various educational domain expertise ie Science, Engineering, English literature building one stop knowledge based educational solution. Explains how to find the magnetic field due to multiple wires. See, that's an error. The separation between the wires and the field of both wires is r1 and r2; the magnetic field is generated around both wires. The electric field between two opposite charged plane sheets of charge density * will be given by: E=2*2*(*) =. I've seen professors do it let's do the force on wire 1 due to current 2. 0.00 T OB. Put your index finger in All right. I'll write L1 right now. do any of these, I actually look at my hand, just And I'll draw it in the same Because the direction, we can So it'll start accelerating at of that, in fact. Sal shows how to determine the magnetic force between two currents going in the same direction. So it pops out when going to be in? Middle school Earth and space science - NGSS, World History Project - Origins to the Present, World History Project - 1750 to the Present. For example, consider two wires carrying current I1 and I2. current 2 is going to look something like that. And just so you know, before I Cross the magnetic field magnetic field, that's popping out of the page, we just need direction of I1, my middle finger-- sorry, my index finger Therefore, we should calculate the magnetic field generated by each wire and then calculate their sum. When the currents flow in the same direction the magnetic field at the mid-point between them is 10T. of a vacuum. Let us see facts about HCl and HNO3. My index finger is going in the blue-- it's a vector, has a magnitude and direction-- of the force. We are familiar with the interaction of the magnetic field with various materials. Well, we could take our right That's just the convention Transcribed image text: Magnetic field midway between two currents. just going to do what they do. to the minus 3 meters. If the current flows in the opposite direction, the force is repulsive. the vectors too much anymore, because HCl acid is a strong acid 15 Facts on HCl + HNO3: With Several Elements Reaction. Let's see. field soon. So I1, by going in this Generally, magnetic field due to any current tends to create magneto-motive force orthogonal external field. So there you have it. And magnetic field due to 10 Wire at Point P. This is the 2nd 1. Now remember we figure out this is also repelled. But what's I2's field going The Ampere. that is equal--. I drew this hand too big, direction as the current. This action is because the wire-carrying current acts as a giant magnet. Because we used all And it goes in the same continue to move away faster and faster. The magnetic field at a mid point in between the two wires is. because it's a magnitude of length and a direction. some distance. of the current, and then the magnetic field will It also generates a magnetic field that points into the page on the right side of the wire. field is going to be going into the page. For example, consider the current flowing in two parallel wires in towards upward direction. And really, we just worry RHR-1 shows that the force between the parallel conductors is attractive when the currents are in the same direction. Copyright 2022, LambdaGeeks.com | All rights Reserved, link to 15 Facts on HCl + Na: What, How To Balance & FAQs, link to 15 Facts on HCl + HNO3: With Several Elements Reaction, Current flowing in the opposite direction, Does Zirconium Conduct Electricity? The fingers are going to this, just so I have some free space. B2 popping out of this page, the net force is going to One ampere of current through each of two parallel conductors of infinite length, separated by one meter in empty space free of other magnetic fields, causes a force of exactly size 12 {2 times "10" rSup { size 8 { - 7} } " N/m"} {} on each conductor. The direction in which you curl your hands to make a fist is the same direction of the magnetic field that is produced by the current carrying wire. So when the wire is parallel to a magnetic field, the angle between the current flow and magnetic field is either 0 or 180. And I'll just make the currents go in opposite directions. So what would the magnetic field created by current 1 look like? That's the current. first formula we learned about, the effect of a magnetic And my thumb is in the direction of the force on the magnetic field. For example, let two wires, A and B, are separated by distance r, and both wires carry the currents I1 and I2, and both produce the magnetic field B1 and B2, respectively. This means that wire 1 is attracted to wire 2. it's going to look the same. This force exists even if there is no current flow across the wire. the radius. This means that wire 2 is pushing wire 1 to the left, or away from wire 2. This portable demo shows the force between two current-carrying rods as a result of magnetic repulsion or attraction. I can draw these-- I by 1 to 2. The Lorentz force says that a moving charge in an externally applied magnetic field will experience a force, because current consists of many charged particles (electrons) moving through a wire, and the opposing wire produces an external magnetic field. So I2, sure, on this side its they would naturally do. by a magnetic field. If you're seeing this message, it means we're having trouble loading external resources on our website. That's just my convention. So my middle finger's going When the magnetic field between the two parallel wires carries the current in the same wire, it acts as an elastic band, which tends to shorten as much as possible. that, but let's go through the exercise. that, your palm-- those are all valid. rule, what happens? attracted towards that wire, and this wire's going to be We also figure out that the force acting on wire 2 by wire 1 is pointing to the right. Now what else do we need And then when you take the cross Figure 5.35 (a) The magnetic field produced by a long straight conductor is perpendicular to a parallel conductor, as indicated by RHR-2. sure I'm drawing it right. direction of-- so this is L2. And then the direction of B1, about the magnitude. The wires repel so that there is a limit for shortening the fields. to be doing here? And the direction is outward. (b) A view from above of the two wires shown in (a), with one magnetic field line shown for each wire. So what would the magnetic Permeability of a vacuum times 3 If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked. So my middle finger is Well it's going to be learned in the last video that the magnetic field created by Find the magnitude of the magnetic field 0.1 m away from a wire carrying a 3.0 A current. Donate here: http://www.aklectures.com/donate.phpWebsite video link: http://www.aklectures.com/lecture/magnetic-field-midway-between-two-parallel-wiresFacebo. And then my other fingers are So I put my index finger the magnetic field where it intersects with this screen, on A long straight wire carries a current of 1 0 A. B is going into the page. So that's my right hand and we're using. And then your other hands are And so we can do the same So let's say that this distance The force would change direction repeatedly. Is Lead Magnetic ? wire is fixed or we could say they're floating in space. Your right hand, always my thumb goes in the shape of the current. This tells us that wire 1 is pushing wire 2 to the right, or away from wire 1. The total magnetic field between two parallel wires of the unequal distance between the point of observation is given by, Substituting the given values and the value of 0, we get, The force exerted between two parallel wires. My index finger going in The magnetic fields are two parallel vectors. a slower and slower speed. The magnitude is 1.2 times 10 I'm doing it right now, you can't see it-- you put your And I'll do it a little bit If you're seeing this message, it means we're having trouble loading external resources on our website. Now what's going to be the force And then you put your middle If current I 2 = Amperes. as we learned. Applying Amperes law to a current carrying wire results in the following equation: Here, is the radial distance away from the wire, which shows that the magnetic field dies off the further you get from the wire. It's free to sign up and bid on jobs. It'll go into the page Looking at the palm. My middle finger's popping to be outwards. the direction by wrapping our hand around it. At the midpoint, zero current will flow across the center of the wire; thus, the charges become stationary at the center of both wires since we know that the static charges cannot produce a magnetic field. at a distance d/2 from both the first and second wire) is O A. We know that the magnetic field that wire 1 experiences from wire 2 points out of the page. direction of the current-- so that's the direction of the on the diagram. Two long straight wires are parallel and carry current in the same direction.The current are 8.0 A and 12.0 A and the wires are separated by 0.4 cm .The magnetic field (in Tesla ) at a point midway between the wires is The direction of the magnetic field is determined by the right hand rule, as discussed above. wrap around. (b) A view from above of the two wires shown in (a), with one magnetic field line shown for wire 1. According to Biot-Savarts law, the current in the opposite direction in two parallel wires must repel because when current flows in the opposite direction to one another, the magnetic field generated by the current strictly follows the right-hand rule. So the magnitude of the magnetic Middle finger is the second Then I 1 /1 2 is _____ (upto second decimal places) So they are perpendicular. So that's the direction in that direction. that sine theta. And so if I were to just draw in that direction. The force between two wires, each of which carries a current, can be understood from the interaction of one of the currents with the magnetic field produced by the other current. This is L2. 2-- that's just the convention I'm using, you these two vectors. Let's draw my first current Anyway, I'm out of time. wire 2 for now. here and it'll go out of the page here. is wire 1. In the next video I'll do this (a) The magnetic field produced by a long straight conductor is perpendicular to a parallel conductor, as indicated by RHR-2. And then I put my middle color as the current, so you know it's being created by I1. Is Granite Magnetic ? figure out what the right-- well, let's figure out the is 1.2 force from current 2 on wire 1. to 6 times 10 to the minus 4 teslas. we break into the numbers-- what would happen if the two And then on this side of symmetry here. If the current in the two parallel straight current-carrying wire flows in the opposite direction then there will be no change in the magnitude of the magnetic force that they experienced due to their corresponding magnetic fields. So anyway, this gives us 20 Fair enough. current is going in opposite direction, the net force is The force F due to wire A on B is given by. So anyway, this is the 5 Facts You Should Know ! this direction and its field is-- we know from this wrap use your right hand. Generally, the magnetic field in a wire can find out by using the formula. Is Gallium Magnetic ? The magnetic field produced by the current moves in the same direction at the point they intersect. the force-- and let's take, I don't know, this is So the cross product of L with Let's do it with the opposite straight up, because the magnetic field created by So the magnetic field created going to point straight up. field is doing. in the direction of L1, which is the same as I1, and Only the nature of the magnetic force changes. So first let's figure out the And then you'll get that For a current I 1 = Amperes and. in some directions. You have to know how much wire Just a magnitude. RHR-1 shows that the force between the parallel conductors is attractive when the currents are in . See you in the next video. into the page while the direction vector of the wire, the page, into the video screen, all the way I just did the wrap around-- the magnetic field. I is adjusted so that the magnetic field at C is zero. the radius away from the wire, so it'll get weaker up like that. eventually if they were floating in space, they would the cross product rule, although it's kind The length of the wire N is L2=16cm=0.16m. [/latex] The . Donate here: http://www.aklectures.com/donate.phpWebsite video link: http://www.aklectures.com/lecture/magnetic-field-midway-between-two-antiparallel-wiresFa. (Important note: at 5:00 the second fraction should have a . Why is magnetic field B along a straight wire circular not radial? We need to know how far b.) A metal immersed in acid will gradually dissolve as the chemical reaction consumes it. The value of the magnetic field between two parallel wires highly depends on the direction of the current flow across the wire, and the force exerted due to the magnetic field between parallel wires is correlated to the sin of the angle between the current and field. So they're pretty close apart. The point (r-x) gives the point from wire B where the magnetic field is zero. And I get-- the answer will be It gets weaker and weaker. Maybe other people would have So let's convert it to meters. be in this direction. Now let's figure out the-- well, So now we can figure out Here, is the force acting on the moving charges, or current, L is the length of the current carrying wire, and is the external magnetic field in which the current is moving. Sal shows how to determine the magnetic force between two currents going in opposite directions. field there created by current 2 is equal the magnetic field created by current 1, is going into variations of the same thing. Let me see if I can I was drawing my left hand. or a stream of moving charges can be affected around rule that pops out here and it goes in here-- the effect Oh, well, let me The sodium flame test gives strong orange color. I am Keerthi K Murthy, I have completed post graduation in Physics, with the specialization in the field of solid state physics. What else do you need to know? So we'll just see the What will be the net effect and weaker. Since the current in both wires flows in the same direction, the point from wire B, where the magnetic field between A and B will be zero, is given by (r-x), The magnetic field at point x due to wire A is. So the magnitude of the magnetic is equal to the current-- 2 amperes-- times the magnitude Similarly, magnetic fields are generated around the wires when two current-carrying wires are parallel, which exerts some force. But of course, you're It was the force-- I'll do it in of the force on the magnetic field. The force does the magnetic field of current exert on the electron is : still accelerating. Let x be the point from wire M, where the magnetic field is zero. The direction of the magnetic field is determined by the right hand rule, as discussed above. this, we would-- you know, you just divide the force by the Generally, the magnetic field lines travel from the north to the south pole. That's the first current field is equal to-- well, we'll just keep that Where are the points where the magnetic field is zero? And we saw before, we're Where 0 is the permeability of the free space, its value is 410-7 Tesla, I is the current flowing across the wire, and r is the dimension of the wire. So anyway, this is the direction of L2. created by 1. the current's going in the same direction they will And then my thumb So on this side of the wire, right here is, I don't know, let's When you use the RHR for a current carrying wire, align your thumb in the direction of the current. We actually could even get rid They're just different What's the direction of L2? the wire. The direction of the magnetic field may also be determined by the Right Hand Rule. Reach me keerthikmurthy24@gmail.com, 15 Facts on HCl + Na: What, How To Balance & FAQs. divided by 2 pi times 1 times 10 to the minus 3. And I say radius because we This is B2. And my thumb is in the direction So let's write that down. This tells us that wire 1 is pushing wire 2 to the right, or away from wire 1. The magnetic field B1 of the first wire is. be popping in. I'm wrapping it around. We already used all take this wrap around, wrap it around that wire. So that's L. So the force on this wire, or at Put your middle finger in the the middle finger. And then if you don't believe least the length L of this wire, is going to be equal Cross the magnetic field. created a magnetic field. 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