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The reactance of a capacitor is 65$\Omega$ at a frequency of 87 Hz.What is its capacitance?

28$\mu \mathrm{F}$

Physics 102 Electricity and Magnetism

Chapter 24

Alternating-Current Circuits

Current, Resistance, and Electromotive Force

Direct-Current Circuits

Electromagnetic Induction

Alternating Current

Cornell University

Rutgers, The State University of New Jersey

Hope College

Lectures

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to coagulate the capacitance. We have to solve these relations for the capacitance first. So by doing that we get that the capacitance is. It goes to one divided by the reactor's times, their own blood frequency, remembering that the angular frequency is equals to two pi times, the actual frequency we get that the capacitance is equals to one divided by the reactor's times, two pi times the article frequency. And now all we have to do is plug in the given later in this equation. So we get that the capacitance is equals to one divided by 6 to 5 times two pi times 87 and it is approximately coast, too. 0.0 28 and they can write it as 28 times, 10 to the minus six parents on. Finally, we can recognize the 10 to the minus six as a micro, So our final answer is that the capacitance is equals to 28. Micro fire. It's

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