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MHT CET202525 Apr 2025Morning ShiftPhysicsAlternating CurrentActual

The reactance of a capacitor is X _ c . If the frequency and the capacitance are doubled, then the new reactance will be

Options

  1. AX_C 2
  2. BX _ c
  3. CX_C 4
  4. D2 X _ c

Correct answer

C. X_C 4

Step-by-step solution

The capacitive reactance is defined by X_C = 1 2 f C . When both frequency and capacitance are doubled, the new reactance becomes X_ C2 = 1 2 (2f) (2C) = 1 4 1 2 f C = X_C 4 . Final answer: X_C 4

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