HARD
JEE Main
IMPORTANT
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A small circular loop of wire of radius is located at the centre of a much larger circular wire loop of radius . The two loops are in the same plane. The outer loop of radius carries an alternating current The emf induced in the smaller inner loop is nearly:
(a)
(b)
(c)
(d)

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Important Questions on Electromagnetic Induction and Alternating Currents
HARD
JEE Main
IMPORTANT
A sinusoidal voltage of peak value and angular frequency is applied to a series circuit. Given that and .

EASY
JEE Main
IMPORTANT
A series circuit is connected to a voltage source with . After a very large time, current behaves as :

MEDIUM
JEE Main
IMPORTANT
An arc lamp requires a direct current of 10 A at 80 V to function. If it is connected to a 220 V (rms), 50 Hz AC supply, the series inductor needed for it to work is close to:

HARD
JEE Main
IMPORTANT
A conducting metal circular-wire-loop of radius is placed perpendicular to a magnetic field which varies with time as where are constants at time . If the resistance of the loop is , then the heat generated in the loop after a long time is

HARD
JEE Main
IMPORTANT
A fighter plane of length 20 m, wing span (distance from tip of one wing to the tip of the other wing) of 15 m and height 5 m is flying towards east over Delhi. Its speed is The earth's magnetic field over Delhi is with the declination angle and dip of such that If the voltage developed is between the lower and upper side of the plane and between the tips of the wings then are close to :

HARD
JEE Main
IMPORTANT
Consider a thin metallic sheet perpendicular to the plane of the paper moving with speed in a uniform magnetic field going into the plane of the paper (see figure). If charge densities and are induced on the left and right surfaces respectively of the sheet, then (ignore fringe effects)

EASY
JEE Main
IMPORTANT
When the current in a coil changes from to in , an average voltage of is produced. The self-inductance of the coil is

HARD
JEE Main
IMPORTANT
An LCR circuit is equivalent to a damped pendulum. In an LCR circuit the capacitor is charged to and then connected to the L and R as shown below:

If a student plots graphs of the square of maximum charge on the capacitor with time (t) for two different values and of L then which of the following represents this graph correctly? (plots are schematic and not drawn to scale)
