The current I in a long, straight wire is constant and is...

The current I in a long, straight wire is constant and is directed toward the right as in Fig. E29.16. Conducting loops A, b, C, and D are moving, in the directions shown, near the wire. (a) For each loop, is the direction of the induced current clockwise or counterclockwise, or is the induced current zero? (b) For each loop, what is the direction of the net force that the wire exerts on the loop? Give your reasoning for each answer. Figure E29.16

Transcript

00:02 Hi, here in this given problem there is a straight current carrying conductor, long current carrying conductor carrying current towards right.

00:12 Then there are four loops, rectangular loops in the neighborhood of this straight conductor moving in different directions as shown here in this figure.

00:31 This is the loop a going away from the wire.

00:37 This is the loop b that is also going away from the wire downward.

00:42 Loop c, this is moving along the wire.

00:49 All of them are moving with the same speed v.

00:53 And this, d, it is moving towards the wire.

00:57 And if you look for the direction of magnetic field using right -hand thumb rule, magnetic field is out of the plane of paper and hence out of the loop out of the area of the loop of all these four loops above the wire and below the wire direction of the same magnetic field that will become into the plane of paper or into the plane of loops okay it is like this so in the first part of the problem in the loop a as it is going away from the wire so outward magnetic field which is linked through the loop and that is outward in outward direction that will be reducing so induced magnetic field as a result of this reducing magnetic field a current will be induced due to which a magnet field will also induce so the induced magnetic field as per lenses law it should be outward increasing it should be outward increasing so the loop should start behaving like upper face of the loop should behave like as we know magnetic field comes out of north pole only so it should behave like a north pole hence direction of current current induced that should be counterclockwise means it should be like this now if you look at b using the same rule in loop v the direction of current it should be clockwise in loop c as it is moving parallel to the magnet parallel to the current carrying conductor so there will be no change in the magnetic field linked through it so no current will be induced in c and finally in d using the same rule here the direction of current induced will be counter clock wise so this is counterclockwise in a in b it is clockwise is like this no current in c and in d again it is counterclockwise means like this now in the second part of the problem we have to find the direction of net force acting over the loops and it will be based on the fact that two wires, two conductors carrying current in the same direction, repel each other, sorry, they attract each other and those carrying currents in opposite direction, they repel each other...

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