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A semicircular loop of radius R is rotat...

A semicircular loop of radius R is rotated about its straight edge which divides the space into two regions one having a uniform magnetic field B and the other having no field. If initially the plane of loop is perpendicular to B (as shown). And if current flowing from O to A be taken as positive, the correct plot of induced current v/s time for one time period is :

A

B

C

D

Text Solution

Verified by Experts

The correct Answer is:
D
Emf induced when a loop rotates in a magnetic field is `(e = Ns B omega sin omegat)`, which is a sinusoidal function. Therefore, induced current will also be sinusoidal as shown

The curve will be negative, because initially the flux decreases from `t = 0` to `T//4`
and then from `t = (3T)/(4)` to `(T)/(4)`
But from `t = (T)/(4)` to `(3T)/(4)`, there will be no induced current as there is no field on the right side. Hence, the current produced will be as shown.
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