Physics Circle home Student Login

Home›Chapters›Alternating Current PYQs›Pure R, L and C Circuits›Question 20

MHT CET 2025 (25 Apr, Shift 1) · Pure R, L and C Circuits

Pure R, L and C Circuits question from MHT CET 2025 (25 Apr, Shift 1)

Q20MHT CET 2025 · 25 APR · SHIFT 1Easy

Pure R, L and C Circuits

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

Show answer and solution

Answer: (c)

  1. XC=12πfC∝1fCX_C = \frac{1}{2\pi f C} \propto \frac{1}{fC}
  2. f→2ff \to 2f, C→2CC \to 2C: XC′=XC2×2=XC4X_C' = \frac{X_C}{2 \times 2} = \frac{X_C}{4}
  3. So the answer is (c) XC4\frac{X_C}{4}.
Report a mistake

More questions on Pure R, L and C Circuits