Question

How does the electrical field strength vary when we enter a uniformly charged spherical cloud ?

Moderate

Solution

The electric field inside uniform spherical cloud of charge is given by
$\begin{aligned} E = \frac{1}{4 {πε}_{0}} \times (\frac{\frac{4}{3} {πr}^{3} ρ}{r^{2}}) \\ = \frac{1}{4 {πε}_{0}} [\frac{4}{3} πrρ] \end{aligned} E \propto r$

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