Question

1. is the power factor when the AC current through a circuit leads the voltage by sixty degrees? Is the load inductive, capacitive, or balanced?

2. Find both the real and the complex power created by the generator in the AC circuit depicted in the image linked below.

0.4 H 32 50 m 5sin(10t) V

Answer 1

Part A)-

If the current leads the voltage by 6 degree then load would be capacitive.

Part B)-

P(Real) = |V||I| cos($\Theta$)

P(Complex) = |V||I| sin($\Theta$)

Here = |V| = 5

And |I| = |V| / Z

= 5 / $\sqrt{[(3^{2}) +(10*0.4 - {1/10*50*10^{-3}})^{2} ]}$

= 5/ 3.60

= 1.39 A

Then-

P(Real) = |V||I| cos($\Theta$)

= 5 * 1.39 cos6

= 6.911 W

P(Complex) = |V||I| sin($\Theta$)

= 5*1.39 sin6

= 0.73 VA

Thank you !!! Have fun