A rectangular loop of wire being pulled through the gap between two permanent ma

Question

A rectangular loop of wire being pulled through the gap between two permanent magnets. In the gap, there is a uniform magnetic field B. If the loop is pulled at constant acceleration from a region of zero magnetic field into a region of a uniform magnetic field, the current induced in the the loop during this process :

A- will increase linearly with the square of the time.
B- will increase exponentially with time.
C-will be some constant value that is not zero.
D-will be zero.
E.will increase linearly with time.

Explanation / Answer

As the Loop is withdraw with Acceleration , So the the Current must increase

Because

Induced EMF = - Nd/dt

= NBA/t

So Due to Acceleration , A value increases with time as change increases

So more EMF will be Induced , So more Induced Current

As the Acceleration is Constant

So the Current will increase linearly with time

So

D option is Correct

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