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Question 12.19: Determine the rms current in Figure 12-47.

Determine the rms current in Figure 12-47.

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First, determine the capacitive reactance.

X_{C} = \frac{1}{2\pi fC} = \frac{1}{2\pi (10\times 10^{3} \ Hz)(0.0056\times 10^{-6} \ \mu F)}= 2.84 \ k\Omega

Then apply Ohm’s law.

I_{rms}= \frac{V_{rms}}{X_{C}} = \frac{5 \ V}{2.84 \ k\Omega } = 1.76 \ mA

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