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Electric Charges And Fields

Question

In a uniformly charged sphere of total charge Q and radius R, the electric field E is plotted as a function of distance from the centre. The graph which would correspond to the above will be

Solution

straight E with rightwards arrow on top subscript inside space equals space open parentheses fraction numerator 1 over denominator 4 πε subscript straight o end fraction straight Q over straight R cubed close parentheses straight r with rightwards arrow on top straight E with rightwards arrow on top subscript outside space equals space open parentheses fraction numerator 1 over denominator 4 πε subscript straight o end fraction straight Q over straight r cubed close parentheses straight r with rightwards arrow on top