An inductor of inductance $2\ \mu\text{H}$ is connected in series with a resistance, a variable capacitor and an a.c. source of 10 kHz. The value of capacitance for which maximum current is drawn in to the circuit is $\dfrac{1}{x}\ \text{F}$, where the value of x is (Take $\pi^2 = 10$)

When a capacitor is connected in series LR circuit, the alternating current flowing in the circuit

With gradual increase in frequency of an a.c. supply, the impedance of an LCR series circuit

An alternating e.m.f. is given by $e = e_0 \sin\omega t$. In what time the e.m.f. will have half its maximum value, if 'e' Starts from zero?