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Solenoid

When the numb...

Question

When the number of turns and the length of the solenoid are doubled keeping the area of cross-section same, the
inductance:

A

Remains the same

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B

Is halved

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C

Is doubled

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D

Becomes one-fourth

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Solution

The correct option is B Is doubled
$L = μ_{0} \frac{N^{2}}{l} A .$
$L \propto \frac{N^{2}}{l}$
When N and l are doubled. L is also doubled.

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