Let there be a spherically symmetric charge distribution with charge density varying as ρ(r)=$$ρ$$054$$−rR up to $$r=R$$ and ρ$$(r)=0$$ for r>R, where r is the distance from the origin. The electric field at a distance $$r(r$$>$$R) from the origin is given by

Correct option is 1ρ0r4ε053−rR

Questions

Let there be a spherically symmetric charge distribution with charge density varying as $ρ (r) = ρ_{0} (\frac{5}{4} - \frac{r}{R})$ up to r=R and $ρ (r) = 0$ for r>R, where r is the distance from the origin. The electric field at a distance r(r>R) from the origin is given by

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ρ0r4ε053−rR

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detailed solution

Correct option is A

Let us consider a spherical shell of radius x and thickness dx .Charge on this shelldq=ρ.4πx2dx=ρ054−xR⋅4πx2dx Total charge in the spherical region from centre to r (r

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Let there be a spherically symmetric charge distribution with charge density varying as ρ(r)=ρ054−rR up to r=R and ρ(r)=0 for r>R, where r is the distance from the origin. The electric field at a distance r(r>R) from the origin is given by

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Let there be a spherically symmetric charge distribution with charge density varying as $ρ (r) = ρ_{0} (\frac{5}{4} - \frac{r}{R})$ up to r=R and $ρ (r) = 0$ for r>R, where r is the distance from the origin. The electric field at a distance r(r>R) from the origin is given by