When the number of turns in a coil are made 3 times without any change in the length of the coil, its self…

When the number of turns in a coil are made 3 times without any change in the length of the coil, its self inductance becomes
  1. (1.5) times
  2. two times
  3. three times
  4. nine times

Solution

- Formula: Self-inductance $L$ of a coil is proportional to the square of the number of turns ( $N^2$ ). - Calculation: If the number of turns $N$ is tripled, the new self-inductance becomes $(3 N)^2=$ $9 N^2$. This means the self-inductance becomes nine times the original.

Asked in: MHT CET 2024 (15 May Shift 1)

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