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IMPORTANT
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As a result of the change in the magnetic flux linked to the closed loop, shown in the figure, an emf of V volt is induced in the loop. The work done (in joule) in taking a charge of Q coulomb once along the loop is

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Important Questions on Electromagnetic Induction and Alternating Currents

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Physics
IMPORTANT

The magnetic field within a cylindrical region, whose cross-section is as indicated, starts increasing at a constant rate of α T s-1. The graph showing the variation of induced field with distance r from the axis of cylinder is:

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HARD
Physics
IMPORTANT
A thin non-conducting ring of mass m and radius a carrying a charge q can rotate freely about its own axis which is vertical. At the initial moment the ring was at rest in horizontal position and no magnetic field was present. At instant t=0, a uniform magnetic field is switched on which is vertically downward and increases with time according to the law B=B0t. Neglecting magnetism induced due to rotational motion of ring.The magnitude of the electric field on the surface of the ring is:
MEDIUM
Physics
IMPORTANT

A uniform but time varying magnetic field exists in cylindrical region and directed into the paper. If field decreases with time and a positive charge is placed at any point inside the region, then it moves 

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EASY
Physics
IMPORTANT
The magnetic flux through each turn of a 100 turn coil is t3-2t×10-3 Wb, where t is in second. The induced emf at t=2 s is
HARD
Physics
IMPORTANT
A self-induced emf in a solenoid of inductance L changes in time as ϵ=ϵ0e-Kt. Assuming the charge is finite, find the total charge that passes a point in the wire of the solenoid.
HARD
Physics
IMPORTANT
A transformer with efficiency 80% works at 4 kW and 100 V. If the secondary voltage is 200 V, then the primary and secondary currents are respectively
HARD
Physics
IMPORTANT
Two coils have a mutual inductance 0.005 H. The current changes in the first coil according to equation I=I0sinωt, where I0=10 A and ω=100π rad s-1. The maximum value of emf in the second coil is
HARD
Physics
IMPORTANT
In the adjacent circuit, the instantaneous current equation is

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