What is the power dissipation in an a.c. circuit in which voltage and current are given by `V=300 sin(omegat + pi/2)` and `i=5 sin omega t`?

What is the power dissipated in an a.c. circuit in which voltage and current are given by V=3000 sin(omegat-pi/2) and I= 10 sin omegat

In an a.c. circuit, with phase voltage V and current I, the power dissipated is

Show mathematically that in an a.c. circuit containing only inductance, the current lags behind the e.m.f. by a phase of pi/2 . An a.c. voltage E=E_0 sin omegat is applied across an inductor L. Obtain an expression for current I.

The power factor of an a.c. circuit is 0.5. what will be the phase difference between voltage and the current?

Show that the average power transferred to an a.c. circuit is in general given by P= V_(r.m.s) I _(r.m.s) R//Z . Where R is the resistance in the circuit.

A current I = I_0 sin (omegat + pi//2) flows in a circuit across which an alternating potential E = E_0 sin omega t is applied. The power consumed in the circuit is

Instantaneous voltage from an a.c. source is given by E=300 sin 314 t. What is the r.m.s. voltage of the source?

The displacemnt of a particle inS.H.M. may be given by y = r sin (omegat + phi_0) . Show that if the time t is increased by (2pi)/omega the value of y remains unchanged.

In an a.c. circuit, the votlage applied is E = E_0 sin omegat . The resultig current in the circuit is I = I_0 sin (omegat - pi//2) . The power consumption in the circuit will be