Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main 2004
Exam
JEE Main
Year
2004
Subject
Physics
Chapter
Alternating Current

JEE Main 2004 · Physics · Alternating Current

In a LCR circuit capacitance is changed from C to 2 C . For the...

In a LCR circuit capacitance is changed from CC to 2C2 C. For the resonant frequency to remain unchanged, the inductance should be changed from LL to

Options

  1. A4 L4 \mathrm{~L}
  2. B2 L2 \mathrm{~L}
  3. CL/2
  4. DL/4

Correct answer

C. L/2

Step-by-step solution

\omega_res =1LC{\text{res }}=\frac{1}{\sqrt{L C}}if ωres \omega_{\text{res }} is to remain same, the product LC should also not change.⇒LC=L′C′⇒LC=L′2C⇒L′=L22\begin{aligned}& \Rightarrow \mathrm{LC}=\mathrm{L}^{\prime} \mathrm{C}^{\prime}\\ & \Rightarrow \mathrm{LC}=\mathrm{L}^{\prime}2 \mathrm{C}\\ & \Rightarrow \mathrm{L}^{\prime}=\mathrm{L}^2 2 \end{aligned}
Practice Alternating Current on Quantrex Academy →

More from Alternating Current

Consider a circuit consisting of a capacitor of capacitance C and a coil with N turns per… JEE Advanced 2026A LCR series circuit driven with E_ rms = 90 V at frequency f_d = 30 Hz has resistance R… JEE Main 2026A series LCR circuit with R = 20\ Ω , L = 1.6 H and C = 40\ is connected to a variable… JEE Main 2026An a.c. source of angular frequency ω is connected across a resistor R and a capacitor C… JEE Main 2026An inductor of 10 mH, capacitor of 0.1\ μ F and a resistor of 100\ Ω are connected in… JEE Main 2026The figure given below shows an LCR series circuit with two switches S_1 and S_2 . When… JEE Main 2026An inductor stores 16 J of magnetic field energy and dissipates 32 W of thermal energy… JEE Main 2026The electric current in the circuit is given as i=i_ o (t / T) . The r.m.s current for… JEE Main 2026 Full Alternating Current list All JEE Main PYQs