Physics Circle home Student Login

Home›Chapters›Alternating Current PYQs›Resonance, Bandwidth & Q Factor›Question 48

MHT CET 2024 (15 May, Shift 2) · Resonance, Bandwidth & Q Factor

Resonance, Bandwidth & Q Factor question from MHT CET 2024 (15 May, Shift 2)

Q48MHT CET 2024 · 15 MAY · SHIFT 2Medium

Resonance, Bandwidth & Q Factor

A resistor of 50 Ω50\ \Omega, inductor of self inductance (3π2)H\left(\frac{3}{\pi^2}\right)\text{H} and a capacitor of unknown capacity are connected in series to an a.c. source of 100 V and 50 Hz. When the voltage and current are in phase, the value of capacitance is (nearly)

Show answer and solution

Answer: (b)

  1. In phase means resonance: C=1ω2LC = \frac{1}{\omega^2 L}, ω=100π\omega = 100\pi.
  2. C=1104π2⋅3π2=13×104≈0.33×10−4C = \frac{1}{10^4\pi^2\cdot\frac{3}{\pi^2}} = \frac{1}{3\times10^{4}} \approx 0.33\times10^{-4} F
  3. So the answer is (b) 0.33×10−40.33\times10^{-4} F.
Report a mistake

More questions on Resonance, Bandwidth & Q Factor