A resistor, inductor, and capacitor are connected in series, each with effective (rms) voltage of 65 V, 140 V, and 80 V respectively. What i

Question

A resistor, inductor, and capacitor are connected in series, each with effective (rms) voltage of 65 V, 140 V, and 80 V respectively. What is the value of the effective (rms) voltage of the applied source in the circuit

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Kiệt Gia 5 years 2021-08-18T14:33:51+00:00 1 Answers 14 views 0

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  1. Sapo1
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    2021-08-18T14:35:35+00:00
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    Answer:

    The value of the effective (rms) voltage of the applied source in the circuit is 132 V

    Explanation:

    Given;

    effective (rms) voltage of the resistor, V_R = 65 V

    effective (rms) voltage of the inductor, V_L = 140 V

    effective (rms) voltage of the capacitor, V_C = 80 V

    Determine the value of the effective (rms) voltage of the applied source in the circuit;

    V= \sqrt{V_R^2 + (V_L^2-V_C^2} )\\\\V= \sqrt{65^2 + (140^2-80^2} )\\\\V = \sqrt{4225+ 13200} \\\\V = \sqrt{17425} \\\\V = 132 \ V

    Therefore, the value of the effective (rms) voltage of the applied source in the circuit is 132 V.

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