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A capacitor of capacity C has reactance X. If capacitance and frequency become double, then reactance will be
  • a)
    4 X
  • b)
    X/2
  • c)
    X/4
  • d)
    2 X
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A capacitor of capacity C has reactance X. If capacitance and frequenc...
Explanation:

Given:
Capacitance, C = C
Reactance, X = X

When capacitance and frequency are doubled:
New capacitance, C' = 2C
New reactance, X' = ?

Formula for reactance in a capacitor:
X = 1/(2πfC)

Substitute values:
X = 1/(2πfC)
X' = 1/(2πf(2C))

Simplify:
X' = 1/(4πfC)
X' = X/4
Therefore, when capacitance and frequency become double, the reactance will become X/4.

Correct answer:
Option C) X/4
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A capacitor of capacity C has reactance X. If capacitance and frequency become double, then reactance will bea)4 Xb)X/2c)X/4d)2 XCorrect answer is option 'C'. Can you explain this answer?
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