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10 May, 11:07

A resistor, inductor and capacitor are connected in series, each with effective (rms) voltage of 65 V, 140 V and 80 V, respectively. If the resistor is rated at 24 W, what is the average power dissipated in the circuit

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  1. 10 May, 11:40
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    176.04 W

    Explanation:

    In any electrical circuit, power dissipation occurs only across resistors (current and voltage have phase difference of 90 degrees in case of capacitor and inductor and hence power dissipated in them = V * I * cosφ = 0, since φ = 90 and cos 90 = 0)

    Mathematically;

    Power dissipiated in circuit = Power dissipiated in resistor = Vrms^2 / R

    From the question, Vrms = 65 and R = 24 W

    Substituting these values;

    Power dissipated in circuit = 65^2/24 = 176.04 W
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