In an LCR series circuit, an inductor 30 mH and a resistor `1 Omega` are connected to an AC source of angular frequency 300 rad/s. The value of capacitance for which, the current leads the voltage by `45^(@)" is "(1)/(x) xx 10^(-3) F`. Then the value of x is____

In an A.C. circuit, a capacitor of 1mu F value is connected to a source of frequency 1000 rad/sec. The value of capacitive reactance will be –

A series LCR circuit with an inductor a capacitor and a resistor of 80 Omega is connected to an AC source of 180 V and angular frequency of 250 rad s^(-1) . Suddenly the inductor is removed from the circuit and it is found that current leads the voltage by 45^(@) . Similarly when only capacitor is removed from the circuit it is found that the current lags behind the voltage by 45^(@) . Find the power dissipated in the circuit.

A capacitor, a resistor and a 40 mH inductor are connected in series to an a.c. source of frequency 60 Hz. Calculate the capacitance of the capacitor,if current is in phase with the voltage.

A circuit containing a 20 Omega resistor and 0.1 mu F capacitor in series is connected to 320 V ac supply of angular frequency 100 " rad " s^(-1) . The impedance of the circuit is