Physics

Problem

A series

R\text{–}L\text{–}C

circuit connected to a

115\,\text{V}

(rms),

50\,\text{Hz}

supply draws a steady rms current of

5\,\text{A}

. The rms voltage across the resistor in the circuit is measured to be

100\,\text{V}

, and the supply voltage is found to lead the current by

30^{\circ}

. a. (i) Compute the magnitude of the net reactive voltage in the circuit. b. (ii) Hence find the numerical value of the difference

(X_L - X_C)

of the reactances. c. (iii) If the inductive reactance is twice the capacitive reactance, determine the individual values of

X_L

and

X_C

. d. (iv) Calculate the rms voltages across the inductor and the capacitor separately.