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At a given instant, the current and self-induced emf, in an inductor, are directed as shown in the figure. If the induced emf is and the rate of change of current is , then the correct statement is,


(a)the current is increasing and inductance of coil is .
(b)the current is decreasing and inductance of coil is .
(c)the current is decreasing and inductance of coil is .
(d)the current is increasing and inductance of coil is .

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Important Questions on Electromagnetic Induction
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IMPORTANT
The number of turns, cross-sectional area and length for four solenoids are given in the following table.
Solenoid | Total Turns | Area | Length |
1 | |||
2 | |||
3 | |||
4 |
The solenoid with maximum self inductance is

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IMPORTANT
Two coils are made of copper wires, of the same length. In the first coil, the number of turns is and radius is . In the second coil, the number of turns is and radius is . The ratio of self inductances of these coils will be

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For a solenoid, keeping its turn density constant, if its length is halved and its cross-sectional radius is doubled, then, the inductance of the solenoid increases by

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IMPORTANT
When the current in a certain inductor coil is and is increasing at the rate of , the potential difference across the coil is . When the current is and is decreasing at the rate of , the potential difference is . The self inductance of the coil is

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IMPORTANT
The equivalent inductance of two inductance is , when connected in parallel and , when connected in series. The difference between the two inductance is

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A superconducting loop of radius has self inductance . A uniform and constant magnetic field is applied perpendicular to the plane of the loop. Initially, the current in this loop is zero. The loop is rotated by about its diameter. The current in the loop, after rotation, is equal to

HARD
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Two coaxial solenoids are made by winding thin insulated wire over a pipe of cross-sectional area and length . If one of the solenoids has turns and the other has turns, their mutual inductance is

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IMPORTANT
A circular wire loop of radius , is placed in an plane, Centre at the origin . A square loop of side , having two turns, is placed with its center at , along the axis of circular wire loop, as shown in the figure. The plane of the square loop makes an angle of with respect to the -axis. If the mutual inductance between the loops is given by , then the value of is
