Define resonant frequency of LCR series circuit.

To reduce the reasonant frequency in an LCR series circuit with a generator.

Define resonance.

LCR circuit connected to a variable frequency 230 V source . L=5.0 H, C=80 micro F and R=40 ohm. Keeping the source frequency equal to the resonating frequency of the series LCR circuit, if the three elements, L, C and R are arranged in parallel, show that the total current in the parallel LCR circuit is minimum at this frequency. Obtain the current rms value in each branch of the circuit for the elements and source.

An LCR circuit has L = 10 mH, R = 3 Omega and C = 1 mu F and is connected in series to a source of (15 cos omega t) volt. Calculate the current amplitude at a frequency 10 % lower than the resonance frequency of the circuit.

Obtain the resonant frequency or of omega_r series LCR circuit with L = 2.OH, C = 32 muF and R= 10 Omega . What is the Q-value of this circuit?

An alternating voltage of frequency f is applied across LCR circuit. Let f_r be the resonance frequency for the circuit. Will the current in the circuit lag, lead or remain in phase with the applied voltage when f>f_r ? Explain your answer in each case.