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Question

Question: If an insulated non-conducting sphere of radius R has uniform volume charge density r. The electric ...

If an insulated non-conducting sphere of radius R has uniform volume charge density r. The electric field at a distance r from the centre of sphere (r > R) will be-

A

ρR3ε0\frac{\rho R}{3\varepsilon_{0}}

B

ρrε0\frac{\rho r}{\varepsilon_{0}}

C

ρR33ε0r2\frac{\rho R^{3}}{3\varepsilon_{0}r^{2}}

D

3ρRε0\frac{3\rho R}{\varepsilon_{0}}

Answer

ρR33ε0r2\frac{\rho R^{3}}{3\varepsilon_{0}r^{2}}

Explanation

Solution

E =14πε0\frac { 1 } { 4 \pi \varepsilon _ { 0 } }= 14πε0\frac { 1 } { 4 \pi \varepsilon _ { 0 } }=