A hollow charged metal sphere has radius ' R '. If the potential difference between its surface and a point at a distance ' 5 R ' from the centre is V, then magnitude of electric f

Question

A hollow charged metal sphere has radius ' R '. If the potential difference between its surface and a point at a distance ' 5 R ' from the centre is V, then magnitude of electric field Intensity at a distance ' 5 R ' from the centre of sphere is

TestHub · Accepted Answer

​ V = 4 π ∈ 0 ​ 1 ​ R q ​ − 4 π ∈ 0 ​ 1 ​ 5 R q ​ = 4 π ∈ 0 ​ 1 ​ R q ​ ( 1 − 5 1 ​ ) = 4 π ∈ 0 ​ 1 ​ R q ​ ( 5 4 ​ ) E = 4 π ε 0 ​ 1 ​ ( 5 R ) 2 q ​ ∴ V E ​ = 20 R 1 ​ or E = 20 R V ​ ​

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