What would be the capacitive reactance of...

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Question 1 of 205eccefa3bacbc34ba4d480d6

What would be the capacitive reactance of the circuit shown in figure "A" of the illustration if the capacitance of C1 was 50 microfarads, the capacitance of C2 was 100 microfarads and the frequency of the source was 60 cycles per second (Hz)? See illustration EL-0038.

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🔍 Key Concepts

• How to identify series vs parallel capacitors from a circuit diagram • How to find the equivalent capacitance for capacitors in parallel • Formula for capacitive reactance: Xc = 1 / (2π f C) and proper unit conversions (microfarads to farads)

💭 Think About

• From the drawing in figure A, decide whether C1 and C2 share the same two connection points or are end‑to‑end. What does that tell you about how to combine their capacitances? • Once you have the equivalent capacitance, substitute the given frequency and capacitance into the capacitive reactance formula. Before you calculate, estimate whether the reactance should be a relatively small or large number for 60 Hz and a fairly large capacitance. • After calculating, compare your result to the answer choices and think about whether any choice could only result from forgetting to convert microfarads to farads or from treating them as series instead of parallel.

✅ Before You Answer

• Verify whether C1 and C2 are definitely in parallel (same two nodes) or in series by tracing the conductors in figure A. • Convert microfarads (µF) to farads (F) correctly before plugging into the formula: 1 µF = 1×10^-6 F. • Check that your final reactance is in ohms and that the magnitude makes sense: more total capacitance at the same frequency should give lower reactance.

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