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The capacitive reactance of a capacitor at 60.0 Hz is 105

Chapter 24, Problem 9P

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QUESTION:

Problem 9P

The capacitive reactance of a capacitor at 60.0 Hz is 105 Ω. At what frequency is its capacitive reactance 72.5 Ω?

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QUESTION:

Problem 9P

The capacitive reactance of a capacitor at 60.0 Hz is 105 Ω. At what frequency is its capacitive reactance 72.5 Ω?

ANSWER:

Step 1 of 3

A certain capacitor provides a capacitive reactance of  when connected in a circuit oscillating at . At another frequency this same capacitor will provide a capacitive reactance of .

We can first find the capacitance using equation

where we have used

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