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

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