Alternating Cur...

A square conducting loop of side L is situated in gravity free space. A small conducting circular loop of radius r ( r < < L) is placed at the center of the  square loop, with its plane perpendicular to the plane of the square loop. The mutual inductance of the two coils is

An a.c. source of angular frequency w is fed across a resistor R and a capacitor C in series. It registers a certain current. The frequency of the source decreases by two-third of the original value, maintaining the same voltage, the current in the circuit is found to be halved. Find the ratio of reactance to resistance at the original frequency

Impedance of given circuit is Given: $$R = 1\ \Omega, C = \frac {5 \sqrt 2}{2 \pi} \times 10^{-2}\ F, L = \frac {1}{40 \pi}\ H$$, frequency of A.C. source = $$100\ Hz$$.

A L-C circuit (inductance 0.01 H, capacity $$1\mu F$$) is connected to a variable frequency ac source. If frequency varies from 1 kHz to 2  kHz, then frequency at which the current in LC circuit is zero is at

What is the $$r.m.s.$$ value of an alternating current which when passed through a resistor produces head which is thrice of that produced by a direct current of $$2$$ amperes in the same resistor:-

In a series resonant R-L-C circuit, if L is increased by $$25\%$$ and $$C$$ is decreased by $$20\%$$, then the resonant frequency will :

In LC parallel circuit L=10 mH and $$C=9\mu F$$. What is the frequency if inductive reactance is equal to capacities reactance?  

An inductance of $$(200/\pi)\ mH$$, a capacitance of $$(10^{-3}/\pi)F$$ and a resistance of $$10\ \Omega$$ are connected in series with an $$a.c$$ source $$220\ v,50\ Hz$$. The phase angle of the circuit is

For a series RLC circuit $$R={X}_{L}=2{X}_{C}$$. The impedance of the circuit and phase difference (between) $$V$$ and $$i$$ will be

The phase difference between current and voltage in an AC circuit is $$\pi/4$$ radian. If the frequency of AC is $$50 Hz$$, then the phase difference is equivalent to the time difference -