An RC series circuit is connected to an ac generator with a maximum emf of 25 V. If the maximum potential difference across the resistor is

Question

An RC series circuit is connected to an ac generator with a maximum emf of 25 V. If the maximum potential difference across the resistor is 15 V, then the maximum potential difference across the capacitor is

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Vodka 5 months 2021-08-18T11:32:03+00:00 1 Answers 0 views 0

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    2021-08-18T11:33:26+00:00

    Answer:

    The maximum potential difference across capacitor is 20 V

    Explanation:

    Given;

    maximum emf of the ac circuit, V_{max} = 25 V

    maximum potential difference across resistor, V_R  = 15 V

    maximum potential difference across capacitor, V_C = ?

    Determine the maximum potential difference across capacitor using the equation below;

    V_{max} = \sqrt{V_R^2 + V_C^2} \\\\25^2 =  V_R^2 + V_C^2\\\\V_C^2 = 25^2 - V_R^2\\\\V_C^2 = 25^2 - 15^2\\\\V_C^2 = 400\\\\V_C = \sqrt{400} \\\\V_C = 20 \ V

    Therefore, the maximum potential difference across capacitor is 20 V

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