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If the number of turns per unit length of a coil of solenoid is doubled, the self-inductance of the solenoid will

1. remain unchanged
2. be halved
3. be doubled
4. become four times

Correct answer: become four times

Solution

The self-inductance of a solenoid is proportional to the square of the number of turns per unit length. Doubling the number of turns per unit length increases the self-inductance by a factor of four.

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