What is half power frequency in series LCR circuit.

Write the equation for impedance of series LCR circuit. Hence discuss the condition for resonance.

Obtain the resonant frequency and Q-factor of a series LCR circuit with L = 3.0 H, C = 27 mu F , and R = 7.4 Omega . It is desired to improve the sharpness of the resonance of the circuit by reducing its 'full width at half maximum' by a factor of 2. Suggest a suitable way.

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 of frequency . Source has emf 230 V and L = 5.0 H , C = 80 mu F and R = 40 Omega .

What is the natural frequency of L C circuit? What is the reactance of this circuit at this frequency?

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

Obtain the resonant frequency omega_r of a series LCR circuit with L = 2.0 H, C= 32 mu F and R = 10 Omega . What is the Q-value of this circuit?

Draw the sharpness resonance curve of series LCR circuit to explain the Q-factor.

Under what condition is the current in a series L.C.R.circuit maximum? Hence write the formula for resonant frequency.

An LC circuit contains a 20 mH inductor and a 50 mu F capacitor with initial charge of 10 mC. The resistance of the circuit in negligible. Let the instant the circuit is closed be t=0. What is the natural frequency of the circuit?

A circuit has a resistance and a reactance each equal to 100 Omega .Find its power factor. If the circuit draws a current of 1.5 A for an applied voltage of 200 V, what is the average power consumed in the circuit?