Alternating Cur...

A pure inductor of self inductance 1 H is connected across an alternating voltage of 115 V and frequency 60 Hz. The reactance $$X_{L}$$ and peak current respectively are

The instantaneous value of emf and current in an
A.C. circuit are; $$E=1.414sin\left ( 100\pi t-\frac{\pi }{4} \right )$$ ,
$$I=0.707sin(100\pi t)$$ . The current,

The phase difference between alternating emf and current in a purely capacitive circuit will be

Assertion : In series LCR circuit, the resonance occurs at one frequency only.
Reason  : At resonance the inductive reactance is equal and opposite to the capacitive reactance.

The capacitor offers zero resistance to

Voltage and current in an ac circuit are given by $$V = 5\sin \left (100\pi t - \dfrac {\pi}{6}\right )$$ and $$I = 4\sin \left (100 \pi t + \dfrac {\pi}{6}\right )$$.

A coil of self - inductance $$\left ( \dfrac{1}{\pi } \right )$$H is connected in series with a 300$$\Omega $$ resistance. A voltage of 200V at frequency 200Hz is applied to this combination. The phase difference between the voltage and the current will be

In an A.C. circuit, containing an inductance and a capacitor in series, the current is found to be maximum when the value of the inductance is 0.5 Henry and capacitance is 8$$\mu $$F . The angular frequency of the input A.C. voltage must be equal to

The frequency at which the inductive reactance of $$2\ H$$ inductance will be equal to the capacitive reactance of 2 $$\mu$$F capacitance (nearly)

In an LCR series circuit, the capacitor is changed from C to 4C. For the same resonant frequency, the inductance should be changed from L to