Aconducting loop moves at a constant speed parallel to a long, straight, current-carrying wire, in the same direction as the current. what will be the current in the loop?

Zero

Explanation:

The electromotive force induced in the loop is given by

where

is the rate of change of magnetic flux through the coil.

The magnetic flux through the coil is given by

where

B is the magnetic field intensity

A is the area enclosed by the coil

is the angle between the direction of B and the normal to the area of the coil

In this problem, the coil is moving parallel to the current in the wire. Let's remind that the magnetic field produced by a wire is

where I is the current in the wire and r is the distance from the wire. In this problem, the loop is moving parallel to the wire, so r remains constant: this means that the magnetic field intensity, B, remains constant.

Also, the area of the coil (A) does not change, neither does since the orientation of the coil remains the same. This means that the magnetic flux through the coil, , does not change: as a result, the emf induced in the coil is zero, and so there is no current induced in the loop.

the answer is d. 4

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