Physics · Electrostatics

JEE Main 2026 — 2 April, Morning Shift — Question 7

Two charged conducting spheres S1\mathrm{S}_{1} and S2\mathrm{S}_{2} of radii 8cm8\mathrm{cm} and 18cm18\mathrm{cm} are connected to each other by a wire. After equilibrium is established, the ratio of electric fields on S1\mathrm{S}_{1} and S2\mathrm{S}_{2} spheres are ES1\mathrm{E}_{\mathrm{S1}} and ES2\mathrm{E}_{\mathrm{S2}} respectively. The value of ES1ES2\frac{\mathrm{E}_{\mathrm{S1}}}{\mathrm{E}_{\mathrm{S2}}} is

  1. Option A:

    32\frac{3}{2}

  2. Option B:

    23\frac{2}{3}

  3. Option C:

    49\frac{4}{9}

  4. Option D:

    94\frac{9}{4}

    Correct

Answer: D

Step-by-step solution

When connected, potentials equal: kQ1r1=kQ2r2\frac{kQ_1}{r_1}=\frac{kQ_2}{r_2} and E=kQr2E = \frac{kQ}{r^2} → E1E2=r2r1=188=94\frac{E_1}{E_2}=\frac{r_2}{r_1}=\frac{18}{8}=\frac{9}{4}

Solution figure

Answer key and solution verified before publishing.

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Exam
JEE Main 2026
Subject
Physics
Chapter
Electrostatics
Topic
Properties of Conductors and Redistribution of Charge
Two charged conducting spheres S 1 and S 2 of radii 8 cm and 18 cm… | JEE Main 2026 PYQ with Solution · DhiX AI