Physics

Problem

A student analyzes a series LCR circuit using a phasor diagram. The voltage across the resistor is

V_{R} = 30\,\text{V}

, and the voltage across the inductor is

V_{L} = 80\,\text{V}

. The source voltage leads the current by

53^{\circ}

. Calculate the voltage across the capacitor

V_{C}

. (Note:

\tan 53^{\circ} = \frac{4}{3}

)