Home
Class 12
PHYSICS
The instaneous values of alternating cur...

The instaneous values of alternating current and voltage in a circuit are `I = 1/sqrt(2) sin (100 pi t)` A and `v= 1/sqrt(2) sin (100 pi t + pi/3)` V. The average power in watts consumed in the circuit is

A

`1/4`

B

`sqrt3/4`

C

`1/2`

D

`1/8`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

The instantaneous current and voltage of an a.c circuit are given by i=10sin314t"A and"V=50sin(314t+pi//2)V. What is the power dissipation in the circuit ?

In an ac circuit an alternating voltage e =200 sqrt2 sin 100 t volts is connected to capacitor of capacity 1 muF The r.m.s.value of the current in the circuit is :

In a series RC circuit with an AC source, R = 300 Omega, C = 25 muF, epsilon_0= 50 V and v = 50/(pi) Hz . Find the peak current and the average power dissipated in the circuit.

In an electrical circuit, R, I, C and AC voltage source are all connected in series. When L is removed from the circuit, the phase difference between the voltage and current in the circuit, is (pi)/(3). Instead, if C is removed from the circuit, the phase difference is again (pi)/(3). The power factor of the circuit is

The greatest value of the function f(x)=(sin2x)/(sin(x+pi/4)) on the interval (0,pi/2)i s 1/(sqrt(2)) (b) sqrt(2) (c) 1 (d) -sqrt(2)

Find the principal value of (I ) sin ^(-1) (1/(sqrt(2))) (ii ) sin ^(-1) ( sin (- pi/3)) sin ^(-1) ( sin ((5pi )/( 6)))

Find the value of (I ) sin^(-1) ( sin ((2pi )/(3)) ) (ii ) sin^(-1) (sin ((5 pi )/(4)))