Question 12.21: Determine the true power and the reactive power in Figure 12...

Determine the true power and the reactive power in Figure 12-50.

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The true power, P_{true}, is always zero for an ideal capacitor. The reactive power is determined by first finding the value for the capacitive reactance and then using
Equation 12-30 : P_{r}= \frac{V^{2}_{rms} }{X_{C}}.

X_{C} = \frac{1}{2\pi fC} = \frac{1}{2\pi (2 \times 10^{3} \ Hz)(0.01\times 10^{-6} \ F)}= 7.96 \ k\Omega

 

P_{r}= \frac{V^{2}_{rms} }{X_{C}} = \frac{(2 \ V)^{2}}{7.96 \ k\Omega } = 503\times 10^{-6}  VAR = 503 \ \mu  VAR

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