Physics Circle home Student Login

Home›Chapters›Alternating Current PYQs›Resonance, Bandwidth & Q Factor›Question 32

MHT CET 2025 (26 Apr, Shift 1) · Resonance, Bandwidth & Q Factor

Resonance, Bandwidth & Q Factor question from MHT CET 2025 (26 Apr, Shift 1)

Q32MHT CET 2025 · 26 APR · SHIFT 1Medium

Resonance, Bandwidth & Q Factor

In series LCR circuit C =2 μF, L=5 mH= 2\ \mu\text{F},\ L = 5\text{ mH} and R=5 ΩR = 5\ \Omega. The ratio of energy stored in the inductor to that in capacitor, when maximum current flows through the circuit is

Show answer and solution

Answer: (b)

  1. At maximum current dIdt=0\frac{dI}{dt} = 0, so VC=IRV_C = IR.
  2. ULUC=12LI212CI2R2=LCR2\frac{U_L}{U_C} = \frac{\frac{1}{2}LI^2}{\frac{1}{2}CI^2R^2} = \frac{L}{CR^2}
  3. ULUC=5×10−32×10−6×25=100\frac{U_L}{U_C} = \frac{5\times10^{-3}}{2\times10^{-6}\times25} = 100
  4. So the answer is (b) 100:1100 : 1.
Report a mistake

More questions on Resonance, Bandwidth & Q Factor