[" -13Prove for an a.c.circuit."],[qquad P_(" av ")=V_(" rms ")XI_(" rms ")X cos phi]

Prove that average power consumed in an ac circuit is P_(av) =I_(mns)* V_(mns) * cos theta .

The power in ac circuit is given by P=E_(rms)I_(rms)cosphi . The vale of cos phi in series LCR circuit at resonance is:

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.

In an A.C. circuit, I_rms and I_0 are related as.

In an a.c. circuit, R=4Omega, Z= 5Omega, V_(rms)=200 V and I_(rms)=1.5 A. Calculate the average power consumed over a full cycle.

[" 2.The instantaneous current "],[" and voltage of an a.c.circuit "],[" are given by "i=10sin314tA],[" and "v=50sin(314t+pi/2)V" ."],[" What is the power dissipation "],[" in the circuit ?* "]

A generator of 100 V (rms) is connected in an ac circuit and 1 A (rms) current is flowing in the circuit. If the phase difference between the voltage and the current is pi//3 . then the average power consumption and the power factor of the circuit will be –