Physics

Problem

A capacitor of capacitance

C = 100\,\mu\text{F}

is connected in series with a resistor

R

and an inductor

L

to a

200\,\text{V}

(rms),

50\,\text{Hz}

AC source. The circuit draws an rms current of

4\,\text{A}

and the rms voltage across the resistor is observed to be

120\,\text{V}

. a. (i) Determine the resistance

R

. b. (ii) Using the given data, calculate the magnitude of the net reactive voltage in the circuit. c. (iii) Hence obtain the numerical value of

(X_L - X_C)

and find the inductive reactance

X_L

. d. (iv) Determine the inductance

L

of the coil. e. (v) Sketch a labelled phasor diagram showing the supply voltage, the component voltages and the current, and use it to check your numerical answers.

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