Question:
A capacitor of capacity C and reactance X if capacitance and frequency become double then
A capacitor of capacity C and reactance X if capacitance and frequency become double then
Updated On: Aug 16, 2024
- 4X
- X/2
- X/4
- 2X
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The Correct Option is C
Solution and Explanation
The correct option is(C): X/4
The capacitive reactance is determined by the formula:
X = 1 / (ωC) = 1 / (2πfC)
Here,C represents the capacitance,f represents the frequency. Now, when both the frequency and capacitance are doubled:
X' = 1 / [2π(2f)(2C)] = 1 / (4πfC)
This simplifies to:
X' = (1/4) * (1 / (2πfC)) = (1/4) * X = (X / 4)
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