What would be the capacitive reactance of the circuit shown in figure "A" of the illustration if the capacitance of C1 was 200 microfarads, the capacitance of C2 was 400 microfarads and the frequency of the source was 60 cycles per second (Hz)? See illustration EL-0038.
• Capacitors in parallel vs series and how to find the equivalent capacitance • Formula for capacitive reactance: Xc = 1 / (2π f C) • Unit conversion from microfarads (µF) to farads (F)
• From the figure, are C1 and C2 connected in series or in parallel? How does that affect the total capacitance? • Once you have the equivalent capacitance, how does increasing capacitance affect capacitive reactance at a fixed frequency? • After calculating Xc with your total C and f = 60 Hz, which answer choice is numerically closest to your result?
• Be sure you used the correct equivalent capacitance formula for the way C1 and C2 are connected in the illustration. • Confirm you converted 200 µF and 400 µF into farads before plugging into the Xc formula. • Re-check your calculator work for 2πfC and then taking its reciprocal to get ohms.
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