High School

The RMS voltage across a [tex]0.020 \mu F[/tex] capacitor is [tex]1.8 V[/tex] at a frequency of [tex]69 Hz[/tex].

Part A: What is the RMS current through the capacitor?

Answer :

Final answer:

The rms current through the capacitor can be calculated using the formula I = V/Xc, where I is the rms current, V is the rms voltage, and Xc is the reactance of the capacitor.

Explanation:

The rms current through the capacitor can be calculated using the formula I = V/Xc, where I is the rms current, V is the rms voltage, and Xc is the reactance of the capacitor. The reactance of the capacitor can be calculated using the formula Xc = 1/(ωC), where ω is the angular frequency and C is the capacitance.

Given that the capacitance of the capacitor is 0.020 μF and the frequency is 69 Hz, we can calculate Xc as follows:

Xc = 1/((2π)(69)(0.020 × 10-6))

Then, we can calculate the rms current as:

I = V/Xc = 1.8/(Xc)

Learn more about rms current here:

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