# Electromagnetic Induction: Induced EMF and current.

Two parallel loops of wire having the same common axis. The smaller loop of (raduis r ) and is above the larger loop (raduis R) by a distance X>>R. The magnetic field due to the counterclockwise current i in the larger loop is nearly uniform throughout the smaller loop. Suppose that x is increasing at a constant rate dx/dt = v. (a) find the expression for the magnetic flux through the area of the smaller loop as a function of x. In the smaller loop, find the expression for the induced emf and the direction of the induced current.

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Two parallel loops of wire having the same common axis. the smaller loop of (raduis r ) and is above the larger loop (raduis R) by a distance X>>R. The magnetic field due to the counterclockwise current i in the larger loop is nearly uniform throughout the smaller loop. Suppose that x is increasing at a constant rate dx/dt = v. (a) find the expression for the magnetic flux through the area of the smaller loop as a function of x. In the smaller loop, find the expression for the induced emf and the direction of the ...

#### Solution Summary

The coil on the axis of a circular current carrying loop is moving with constant velocity. The induced EMF and current in the coil is calculated.