MHT CET 2024 Physics question

When the number of turns in a coil is made 3 times without any change in the length of coil, its self inductance becomes

(A)(1.5) times
(B)two times
(C)three times
(D)four timesCorrect

Answer: (D)

Solution

For a long coil (solenoid) of turns, length and cross-section , the self inductance is , so when and are unchanged. If , then , i.e. the inductance becomes nine times.

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Question ID VK-098856