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Electric Potential Due to Shell

11.A spherica...

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11.A spherical charge distribution is symmetrical about a point O.The volume charge density Rho depend upon the distance r from the point O as rho p(1-r/R).Find the total charge enclosed inside a sphere of Radius R having center at O

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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}

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}}

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. The diagram shows a sphere of radius

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P (r) = \frac{Q}{π R^{4}} r

be the charge density distribution for a solid sphere of radius

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and total charge Q. For a point

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Q. A non-conducting spherical ball of radius

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