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What is the current amplitude \[i_m\] for a pure inductor?

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Question

What is the current amplitude \[i_m\] for a pure inductor?

Options

  • \[i_m=\frac{v_m}{\omega L}\]

  • \[i_m=v_m\omega L\]

  • \[i_m=\frac{v_m\omega}{L}\]

  • \[i_m=\frac{\omega L}{v_m}\]

MCQ
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Solution

The coefficient of the sine function in the integrated current is its amplitude. Hence, \[i_m=\frac{v_m}{\omega L}\].

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