A thin conducting spherical shell of radius R has charge +q spread uniformly over its surface. Using Gauss’s law, derive an expression for an electric field at a point outside the shell. Draw a graph of electric field E(r) with distance r from the centre of the shell for 0 ≤ r ≤ ∞. - Zigya
A thin conducting spherical shell of radius R has charge +q spread uniformly over its surface. Using Gauss’s law, derive an expression for an electric field at a point outside the shell. Draw a graph of electric field E(r) with distance r from the centre of the shell for 0 ≤ r ≤ ∞.
Electric field intensity at any point outside a uniformly charged spherical shell: Assume a thin spherical shell of radius R with centre O. Let charge +q is uniformly distributed over the surface of the shell. Let P be any point on the Gaussian surface sphere S1 with centre O and radius r (r > R). According to Gauss's law Graph: As charge on shell reside on outer surface so there is no charge inside shell so electric field by Gauss's law will be zero.
The variation of the electric field intensity E(r) with distance r from the centre for shell 0 ≤ r < ∞ is shown below.
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