Question

the voltage and the currents across a passive element in an ac circuit are; v=10cos(100t+60degree) i=5sin(100t+60degree) the complex power across the passive element is

Answer 1

circuit if the current flowung through 3 ohm resistor is 1a

Answer 2

Answer: 50 cos (100t+60) sin (100t +60)

Given :

 I = 5 sin (100t +60) A

V = 10 cos (100t+60) V

Solution:

Wkt,

         $Voltage = V_m sin (\omega t+\Theta_1)$

         $Current = I_m sin (\omega t+\Theta_2)$

In an AC circuit, complex power is given by,

         $Power = Voltage  \times  Current \times  cos\Theta$

Since voltage and current are out of phase, $cos\Theta < 1$

Lets take it as 1,

         $Power = 10 cos (100t+60) \times 5 sin (100t +60) = 50 cos (100t+60) sin (100t +60)$