Alternating Cur...

An alternative current, L.R circuit comprises of an inductor, whose reactance $$X_L = 3R$$, where $$R$$ is the resistance of the circuit. If a capacitor, whose reactance $$X_C = R$$ is connected in series then what will be the ratio of the new and the old power factor?

At $$t=0$$, an inductor of zero
resistance is joined to a cell of emf `E' through a resistance. The current
increases with a time constant $$\tau$$. The emf across the coil after time
$$t$$ is

In the adjoining figure the impedance of the circuit will be_

An inductance of $$1mH$$, a condenser of $$10 \mu F$$ and resistance of $$50\Omega$$ are connected in series. The reactance of inductor and condensers are same. The reactance of either of them will be:-

The graph given below depict the dependence of two reactive impedances $$X_1$$ and $$X_2$$ on the frequency of the alternating e.m.f. applied individually to them. We can say that:

An AC circuit draws $$5 A$$ at $$160 V$$ and the power consumption is $$600 W$$. Then the power factor us :-

An inductor of inductance 2.0 mH is connect across a charge capacitor of capacittance 5.0 uF , and the resulting LC circuit is set oscillating at natural frequency. Let Q denote the instantaneous charge on the capacitor, and I the current in the circuit. It is found the maximum value of Q is 200 uC .When Q=100uC the value of $$\dfrac{dI}{dt} $$ is found to be $$10^{x}$$ A/s. Find the value of x is then

A coil has a resistance $$ 10 \Omega $$ and an inductance of 0.4 henry. It is connected to an AC source of $$ 6.5 V , \frac {30} { \pi } Hz. $$ The average power consumed in the circuit, is :

In an electric circuit applied ac emf is e = 20 sin 300t volt and the current is i = 4 sin 300 t ampere. The reactance of the circuit is -

The inductive reactance of an inductive coil with $$\dfrac{1}{\pi}$$ henry and $$50$$Hz:-