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A bar magnet is passing through a conducting loop of radius R with velocity v. The radius of the bar magnet is such that it just passes through the loop. The induced e.m.f. in the loop can be represented by the approximate curve:

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Important Questions on Electromagnetic Induction and Alternating Currents

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JEE Main
IMPORTANT

The alternating current is given by, i=42sin2πTt+10 A. The R.M.S. value of this current is __________ A.

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A constant magnetic field of 1 T is applied in the x>0 region. A metallic circular ring of radius 1 m is moving with a constant velocity of 1 m s-1 along the x-axis. At t=0 s, the centre O of the ring is at x=-1 m. What will be the value of the induced emf in the ring at t=1 s ? (Assume the velocity of the ring does not change.)

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IMPORTANT
An AC circuit has an inductor and a resistor of resistance R in series, such that XL=3R. Now, a capacitor is added in series such that XC=2R. the ratio of the new power factor with the old power factor of the circuit is 5:x. The value of x is
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IMPORTANT
A small square loop of side a and one turn is placed inside a larger square loop of side b and one turn (ba). The two loops are coplanar with their centres coinciding. If a current I is passed in the square loop of side  b, then the coefficient of mutual inductance between the two loops is :
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IMPORTANT
In an ac circuit, an inductor, a capacitor and a resistor are connected in series with XL=R=XC. Impedance of this circuit is :
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JEE Main
IMPORTANT
A coil is placed in a magnetic field B as shown below :
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A current is induced in the coil because B is :
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IMPORTANT
At very high frequencies, the effective impedance of the given circuit will be _________Ω.
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JEE Main
IMPORTANT

For the given circuit the current i through the battery when the key in closed and the steady state has been reached is

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