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Which equation follows from the right-angle phasor triangle for the peak applied voltage?

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Question

Which equation follows from the right-angle phasor triangle for the peak applied voltage?

Options

  • \[v_m^2=V_{Rm}^2+V_{Cm}^2+V_{Lm}^2\]

  • \[v_m^2=V_{Rm}^2+(V_{Cm}-V_{Lm})^2\]

  • \[v_m^2=(V_{Rm}+V_{Cm}-V_{Lm})^2\]

  • \[v_m^2=V_{Rm}^2+(V_{Cm}+V_{Lm})^2\]

MCQ
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Solution

The right-angle phasor triangle gives \[v_m^2=V_{Rm}^2+(V_{Cm}-V_{Lm})^2\]. The capacitor and inductor voltage contributions enter as a difference.

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