A plane, rectangular coil rotates at constant angular velocity in a uniform magn

Question

A plane, rectangular coil rotates at constant angular velocity in a uniform magnetic field directed to the right as shown in the diagrams below, which show a view of the coil looking along its rotational axis (i.e., we are looking at one of the shorter sides of the coil). The arrows indicate the direction of the field. For which of the orientations is the induced current greatest? A) A B) B C) C D) D E) The induced current is constant if the coil rotates at a constant angular velocity, so there is no position at which the induced current is a maximum.

Explanation / Answer

When the coil is rotating in a magnetic field. the value of emf is given by

E = BANsin

I = E/R

so I will be maximum when = 90

so the current generated will be maximum at position D

so the correct answer is D

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