Two concentric spheres of radii R and r have similar charges with equal surface charge densities (σ ) . The electric potential at their common centre is

Question

Two concentric spheres of radii R and r have similar charges with equal surface charge densities (σ ) . The electric potential at their common centre is (A) σ / ϵ 0 (B) (σ /(ϵ )0)(R - r) (C) (σ /(ϵ )0)(R + r) (D) (σ /4 π (ϵ )0)(R + r)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="Solution" src="https://cdn.tardigrade.in/q/nta/p-rxddox8dsbuzqkgk.jpg" /> The potential at the centre is the same as that on the surface, ∴ v =(σ r/ϵ 0)+(σ R/ϵ 0)

Q. Two concentric spheres of radii $R$ and $r$ have similar charges with equal surface charge densities $(σ)$ . The electric potential at their common centre is

$σ / ϵ_{0}$

$\frac{σ}{( ϵ ) _{0}} (R - r)$

$\frac{σ}{( ϵ ) _{0}} (R + r)$

$\frac{σ}{4 π ( ϵ ) _{0}} (R + r)$

The potential at the centre is the same as that on the surface,
$∴ v = \frac{σ r}{ϵ _{0}} + \frac{σ R}{ϵ _{0}}$

Q. Two concentric spheres of radii R and r have similar charges with equal surface charge densities (σ) . The electric potential at their common centre is

σ/ϵ0​

(ϵ)0​σ​(R−r)

(ϵ)0​σ​(R+r)

4π(ϵ)0​σ​(R+r)