A resistor and a inductor are connected in series with an unknown capacitor across an a.c

PHYSICS · Multi-part · CBSE · Physics · Alternating Current · Alternating Current

Problem

A 30 Ω30\,\Omega resistor and a 150 mH150\,\text{mH} inductor are connected in series with an unknown capacitor across an a.c. source that delivers a peak voltage of 170 V170\,\text{V} at 50 Hz50\,\text{Hz}. The rms current in the circuit is found to be 0.40 A0.40\,\text{A}. (a) Convert the given peak voltage to its rms value. (b) Determine the impedance of the circuit from the given data. (c) Find the magnitude of the net reactance of the circuit. (d) Calculate the value of the capacitance connected in the circuit.

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