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Question 31478
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Electrostatics: Electric Potential MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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Electric PotentialHardQuestion 31478

Question

Field between two conducting concentric spheres (radii R₁ and R₂, potential V₁ and V₂) at radius r:
  1. A
    (V₁−V₂)/(R₂−R₁)
  2. B
    R₁R₂(V₁−V₂)/(r²(R₂−R₁))
    Correct
  3. C
    V₁/r
  4. D
    (V₁−V₂)r/(R₂R₁)

Correct answer

R₁R₂(V₁−V₂)/(r²(R₂−R₁))

Explanation

V(r) = A + B/r with B.C.s V(R₁)=V₁, V(R₂)=V₂. Solving: E = −dV/dr = B/r² = R₁R₂(V₁−V₂)/((R₂−R₁)r²).

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