A series - - circuit containing a resistance of has resonance frequency

PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

A series

L

C

R

circuit containing a resistance of

120\,\Omega

has resonance frequency

4 \times 10^5\,\text{rad s}^{-1}

. At resonance, the voltages across the resistance and inductance are

60\,\text{V}

and

40\,\text{V}

, respectively. Find the values of

L

and

C

. At what angular frequency does the current in the circuit lag the voltage by

\frac{\pi}{4}