Verified Solution • 2025–26 Session moderate

QJEEM22Pha767: JEE Main 2022 Physics - Class 12 JEEM22Pha767 Solution: Two uniformly charged spherical conductors and of radii and are …

Two uniformly charged spherical conductors AA and BB of radii 5 mm5 \mathrm{~mm} and 10 mm10 \mathrm{~mm} are separated by a distance of 2 cm2 \mathrm{~cm} . If the spheres are connected by a conducting wire, then in equilibrium condition, the ratio of the magnitudes of the electric fields at the surface of the sphere AA and BB will be :

Multiple Choice Options

  • A 1:02
  • B 2:01
  • C 1:01
  • D 1:04

Step-by-Step Verified Solution

After connection

σ1R1=σ2R2{\sigma _1}{R_1} = {\sigma _2}{R_2}

Now E=σε0E = {\sigma \over {{\varepsilon _0}}}

⇒E1E2=σ1σ2=R2R1=21\Rightarrow {{{E_1}} \over {{E_2}}} = {{{\sigma _1}} \over {{\sigma _2}}} = {{{R_2}} \over {{R_1}}} = {2 \over 1}

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