Two concentric spheres kept in air have radii R and r. They have similar charge and equal surface charge density σ. The electric potential at their common centre is ( ε₀ = permittivity of free space) (a) (σ(R + r))/(ε₀) (b) (σ(R - r))/(ε₀) (c) (σ(R + r))/(2ε₀) (d) (σ(R + r))/(4ε₀)

Answer: (a). A shell gives potential kQ/R = (σ R)/(ε₀) at every point inside it, including the centre. V = (σ R)/(ε₀) + (σ r)/(ε₀) V = (σ(R + r))/(ε₀) So the answer is (a).

Two concentric spheres kept in air have radii R and r. They have… | MHT CET 2026 (15 May, Shift 2)

Q14MHT CET 2026 · 15 MAY · SHIFT 2Medium

Electric Potential & Equipotentials

Two concentric spheres kept in air have radii $R$ and $r$ . They have similar charge and equal surface charge density $\sigma$ . The electric potential at their common centre is ( $\epsilon_0$ = permittivity of free space)

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Answer: (a)

A shell gives potential $\dfrac{kQ}{R} = \dfrac{\sigma R}{\epsilon_0}$ at every point inside it, including the centre.
$V = \dfrac{\sigma R}{\epsilon_0} + \dfrac{\sigma r}{\epsilon_0}$
$V = \dfrac{\sigma(R + r)}{\epsilon_0}$
So the answer is (a).

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Electric Potential & Equipotentials question from MHT CET 2026 (15 May, Shift 2)

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