An a.c. source generating voltage `e=e_@` sin`omegat` is connected to a capacitor of capacitance `C` . Find the expression for the current `I` flowing through it. Plot a graph of e and I versus `omegat`

In an ac circuit alternating voltage E= 200sqrt2 sin 100t volt is connected to a capacitor of capacity 1muF . The rms value of the current in the circuit is

A capacitor of capacitance C carrying charge Q is connected to a source of emf E. Finally the charge.on capacitor would be

An ac source e=E_0sinomegat is applied across an ideal inductor of inductance L. Show mathematically that the current lags the voltage by a phase angle of pi/2 .

What will be the reactance if a current of frequency f flows through a capacitor of capacitance C?

For the series connection of an inductor (L) , a capacitor ( C ) and a resistor ( R ) , show that the current flowing through the circuit is maximum for a particular value of the capacitor. IF L=10 mH, R= 100Omega and frequency is 1000s^-1 , then what is the value of C for which current flowing in the circuit is maximum?

A series combination of an inductor of self-inductance L, capacitor of capacitance C and resistor R is connected to an alternating voltage source of V=V_0sinomegat . The current through the circuit is I=I_0sin(omegat-theta) ,where I_0=V_0/(sqrt(R^2+(omega-1/(omegaC))^2)) and theta=tan^-1 ""1/R(omegaL-1/(omegaC)) . Now that, the frequency of both voltage and current is f=omega/(2pi) . The rms value of these parameters during one complete cycles are V_(rms)=V_0/sqrt2 and I_(rms)=I_0/sqrt2 respectively. These values are shown in alternating voltmeter and ammeter. The power consumed by the circuit P=VI. The mean value i.e., the effective power of the circuit in a complete cycle is overlineP=V_(rms)I_(rms)costheta . This costheta is termed the power factor. the power factor of the circuit is question (i) is

A series combination of an inductor of self-inductance L, capacitor of capacitance C and resistor R is connected to an alternating voltage source of V=V_0sinomegat . The current through the circuit is I=I_0sin(omegat-theta) ,where I_0=V_0/(sqrt(R^2+(omega-1/(omegaC))^2)) and theta=tan^-1 ""1/R(omegaL-1/(omegaC)) . Now that, the frequency of both voltage and current is f=omega/(2pi) . The rms value of these parameters during one complete cycles are V_(rms)=V_0/sqrt2 and I_(rms)=I_0/sqrt2 respectively. These values are shown in alternating voltmeter and ammeter. The power consumed by the circuit P=VI. The mean value i.e., the effective power of the circuit in a complete cycle is overlineP=V_(rms)I_(rms)costheta . This costheta is termed the power factor. The power factor of the circuit in question (iii) is

n number of cells e.m.f of each is E and internal resistance is r connected in parallel or series combination and are connect to external resistance R.Same current flows through R in both cases. Then—

A series combination of an inductor of self-inductance L, capacitor of capacitance C and resistor R is connected to an alternating voltage source of V=V_0sinomegat . The current through the circuit is I=I_0sin(omegat-theta) ,where I_0=V_0/(sqrt(R^2+(omega-1/(omegaC))^2)) and theta=tan^-1 ""1/R(omegaL-1/(omegaC)) . Now that, the frequency of both voltage and current is f=omega/(2pi) . The rms value of these parameters during one complete cycles are V_(rms)=V_0/sqrt2 and I_(rms)=I_0/sqrt2 respectively. These values are shown in alternating voltmeter and ammeter. The power consumed by the circuit P=VI. The mean value i.e., the effective power of the circuit in a complete cycle is overlineP=V_(rms)I_(rms)costheta . This costheta is termed the power factor. In the circuit in question (i) the inductor is replaced by a pure capacitor, the phase difference between the current and terminal voltage of the capacitor is