Electro Magnetic Induction And Alternating Currents Question 525

Question: A coil is wound as a transformer of rectangular cross-section. If all the linear dimensions of the transformer are increased by a factor 2 and the number of turns per unit length of the coil remain the same, the self inductance increased by a factor of [AIIMS 1980]

Options:

A) 16

B) 12

C) 8

D) 4

Show Answer

Answer:

Correct Answer: C

Solution:

Self inductance $ L={\mu_{0}}N^{2}A/l={\mu_{0}}n^{2}lA $

Where n is the number of turns per unit length and N is the total number of turns and $ N=nl $

In the given question n is same.

A is increased 4 times and l is increased 2 times and hence L will be increased 8 times.



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