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Standard XII

Physics

Electric Potential Due to Shell

An insulator ...

Question

An insulator solid sphere of radius R is charged in a uniform manner such that volume charge density p=A/r where A is constant, r is distance from the centre. Electric field strength at any inside point at a radial distance r is?

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Similar questions

Q. An insulating solid sphere of radius

R

has a uniform volume charge density and total charge

Q

. Find the electric field at a point outside the sphere at a distance of

r

from its centre.

Q. The charge per unit volume inside an insulating sphere of radius

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is given as a function of distance from centre

ρ (r) = c r

, Where

0 < r < R

. The magnitude of electric field at a distance

^{'} b^{'}

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Q. Let

ρ (r) = \frac{Q r}{4 π R^{4}}

be the charge density distribution of a solid sphere of radius

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. Find the magnitude of electric field at a point

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Q. A solid nonconducting sphere of radius

R

has a uniform charge distribution of volume charge density,

ρ = ρ_{0} \frac{r}{R}

, where

ρ_{0}

is a constant and r is the distance from the centre of the sphere. Show that:
(a) the total charge on the sphere is

Q = π ρ_{0} R^{3}

(b) the electric field inside the sphere has a magnitude given by,

E = \frac{K Q r^{2}}{R^{4}}

An insulated solid sphere has a volume charge density ρ. ‘r’ is the distance of a point P from the Centre. Which graph represents the correct variation of electric field with respect to r?

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