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Using Gauss’ theorem, obtain an expression for intensity of electric field ‘ ’ at a point, which is…

Physics20183 marksDerivation
Using Gauss’ theorem, obtain an expression for intensity of electric field ‘$E$’ at a point, which is at a distance ‘$r$’ ($r > R$) from the centre ‘$C$’ of a thin spherical shell (of radius $R$) carrying charge ‘$Q$’.

To show: $E = \frac{1}{4\pi\varepsilon_0}\frac{Q}{r^2}$

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Electric Charges and Fields

From ISC 2018 Specimen Physics Paper 1, question 13.