A circuit consists of a resistance of 12 ohms, a capacitance of 320 µF and an inductance of 0.08 H, all in series. A supply of 240 V, 50 Hz is applied to the ends of the circuit. Calculate : (a) the current in the coil. (b) the potential differences across each element of the circuit. (c) the frequency at which the current would have unity power-factor. [(a) 12.4 A (b) 149 V, 311 V (c) 32 Hz] (London Univ.) A series circuit consists of a reactor of 0.1 henry inductance and 5 ohms resistance and a capacitor of 25.5 µ F capacitance. Find the resonance frequency and the precentage change in the current for a divergence of 1 percent from the resonance frequency. [100 Hz, 1.96% at 99 Hz; 4.2% at 101 Hz] (City and Guilds, London)
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In this case, I = V/R = 240V/12Ω = 20A. However, this is not the correct answer because the circuit is not purely resistive, it also has inductive and capacitive elements. We need to calculate the impedance (Z) of the circuit first. The impedance of a series RLC Show more…
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