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What happens to the capacitive reactance if the frequency is doubled while capacitance stays the same?

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Question

What happens to the capacitive reactance if the frequency is doubled while capacitance stays the same?

Options

  • The capacitive reactance is doubled.

  • The capacitive reactance is halved.

  • The capacitive reactance becomes zero.

  • The capacitive reactance is unchanged.

MCQ
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Solution

Capacitive reactance is \[X_C=\frac{1}{2\pi\nu C}\]. Doubling \[\nu\] while keeping \[C\] fixed halves \[X_C\].

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