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There are two concentric metallic spherical shells of radii a and b (a < b). The shells are being maintained at a constant potential difference V. At a distance $r (a < r < b)$ from the centre of the shells

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E is zero inside inner shell option

Electric field is $\frac{V}{(b - a)}$

Electric field is $\frac{V a b}{r^{2} (b - a)}$

E is zero between the spheres

answer is A, B.

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Detailed Solution

$\int d R = \int_{a}^{b} ρ \frac{d r}{4 π r^{2}} R= \frac{ρ (b-a)}{4πab} i= \frac{V}{R} J= \frac{i}{{4πr}^{2}} = \frac{Vab}{ρ (b-a) r^{2}} J= \frac{E}{ρ} \Rightarrow E= \frac{Vab}{(b-a) r^{2}}$

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