Question

If the number of turns per unit length of a coil of solenoid is doubled, the self-inductance of the solenoid will(a) remain unchanged(b) be halved(c) be doubled(d) become four times

Answer 1

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(b) be halved

Answer 2

Answer:

(d) become four times

Explanation:

The self inductance of coil is given as - L = μ₀n²A/l

where μ is the permeability of medium, n is number of turns of a coil, A is cross sectional area of coil and l is the length of coil.

Thus, if A and l are constants then the inductance is directly proportional to square of number of turns. In the given situation the number of turns in a coil is doubled without any change in inductance lending of the coil. Hence, the inductance of coil will become four times. Therefore, when the number of turns in a coil is doubled without any change in the length of the coil, the self- inductance becomes four times.