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What results from substituting \[v=v_m\sin\omega t\] into \[v=iR\]?

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Question

What results from substituting \[v=v_m\sin\omega t\] into \[v=iR\]?

Options

  • \[v_mi_m\sin^{2}\omega t=iR\]

  • \[v_m\sin\omega t=\frac{i}{R}\]

  • \[v_m\sin\omega t=iR\]

  • \[i_m\sin\omega t=iR\]

MCQ
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Solution

Replace the instantaneous voltage \[v\] in \[v=iR\] with \[v_m\sin\omega t\]. The result is \[v_m\sin\omega t=iR\].

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