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

Following are the calculation to the average power dissipated in the circuit:

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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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explanation: