Physics

Problem

In a series

R\text{–}L\text{–}C

circuit the measured rms voltages across the individual elements are

V_R = 120\,\text{V}

V_L = 190\,\text{V}

and

V_C = 70\,\text{V}

. The circuit is driven by a single-phase AC source of frequency

50\,\text{Hz}

carrying an rms current

I_{\text{rms}}

. Solve the following: a. (i) Find the magnitude of the net reactive voltage

(V_L - V_C)

in the circuit. b. (ii) Determine the rms value of the supply voltage. c. (iii) Calculate the phase angle between the supply voltage and the current, stating whether the current leads or lags.

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