Question 1.SA.8: Assume that the circuit in Problem 6 is powered by a 60 Hz A......

Electrical Engineering Fundamentals [1024827]

Assume that the circuit in Problem 6 is powered by a 60 Hz AC source instead of the DC source. Determine the total capacitive reactance, $X_c$ , seen by the AC source.

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If the DC source is replaced by an AC source, the circuit would appear as follows:

As computed in Problem 6, the combined or net capacitance contributed to the circuit by the parallel and series network of capacitors is $C_{EQ}$ = 4.44 μF. Then, by applying Eq.1.26:

X_c=\frac{1}{ωC}=\frac{1}{2πfC}

where
f = Frequency = 60 Hz
$C_{EQ}$ = 4.44 μF

X_c=\frac{1}{ωC}=\frac{1}{2πfC}=\frac{1}{2(3.14)(60)(4.44×10^{-6})}= 597  Ω

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