Physics · Capacitors and R-C Circuits

JEE Main 2024 — 1 February, Shift 2 — Question 45

A galvanometer (G)(\mathrm{G}) of 2Ω2 \Omega resistance is connected in the given circuit. The ratio of charge stored in C1\mathrm{C}_{1} and C2\mathrm{C}_{2} is :

Question figure
  1. Option A:

    23\frac{2}{3}

  2. Option B:

    32\frac{3}{2}

  3. Option C:

    1

  4. Option D:

    12\frac{1}{2}

    Correct

Answer: D

Step-by-step solution

In steady state Req⁡=12Ω\operatorname{Req}=12 \Omega I=612=0.5 A\mathrm{I}=\frac{6}{12}=0.5 \mathrm{~A}

P.D across C1=3 V\mathrm{C}_{1}=3 \mathrm{~V} P.D acoross C2=4 V\mathrm{C}_{2}=4 \mathrm{~V}

q1=C1 V1=12μC\mathrm{q}_{1}=\mathrm{C}_{1} \mathrm{~V}_{1}=12 \mu \mathrm{C}

q2=C2 V2=24μC\mathrm{q}_{2}=\mathrm{C}_{2} \mathrm{~V}_{2}=24 \mu \mathrm{C}

q1q2=12\frac{\mathrm{q}_{1}}{\mathrm{q}_{2}}=\frac{1}{2}

Solution figure

Answer key and solution verified before publishing.

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Exam
JEE Main 2024
Subject
Physics
Chapter
Capacitors and R-C Circuits
Topic
Charging and Discharging of R-C Circuits
A galvanometer ( G ) of 2 Ω resistance is connected in the given… | JEE Main 2024 PYQ with Solution · DhiX AI