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When the capacitive reactance is 200 ohms, what is the frequency?

User Epharion
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1 Answer

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The capacitive reactance of a capacitor is X = 1 / 2·π·f·C .

f = the frequency of the voltage across the capacitor

C = the capacitance of the capacitor.

When the capacitive reactance is 200 ohms, 200 = 1 / 2·π·f·C .

Multiply each side by (2·π·f·C): 200 · 2·π·f·C = 1

Divide each side by (400·π·C): f = 1 / 400·π·C .

f = the frequency of the voltage across the capacitor

C = the capacitance of the capacitor.

So the frequency is 1 / 400·π·(the capacitance of the capacitor).

(It makes a big difference what the value of the capcitor is. It makes such a big difference that I'll just bet the value of the capacitor is printed right there where you got the question from, and you neglected to copy it.)