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(c) Let sphere has uniform chare density $\rho \,\left( { = \frac{{3Q}}{{4\pi {R^3}}}} \right)$ and $E$ is the electric field at distance $x$ from the

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$x$

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(c) Let sphere has uniform chare density $ho \,\left( { = \frac{{3Q}}{{4\pi {R^3}}}} ight)$ and $E$ is the electric field at distance $x$ from the centre of the sphere.
Applying Gauss law
$E.\,4\pi \,{x^2} = \frac{q}{{{\varepsilon _0}}} = \frac{{ho V'}}{{{\varepsilon _0}}} = \frac{ho }{{{\varepsilon _0}}} 	imes \frac{4}{3}\pi {x^3}$
($V' = $ Volume of dotted sphere)
 $E = \frac{ho }{{3{\varepsilon _0}}}x$ $==>$ $E \propto \,x$

A sphere of radius $R$ has a uniform distribution of electric charge in its volume. At a distance $x$ from its centre, for $x < R$, the electric field is directly proportional to

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