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A charge Q is applied to a conducting sphere of radius R. At the sphere's centre, the electric potential and electric field are respectively -

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Question

A charge Q is applied to a conducting sphere of radius R. At the sphere's centre, the electric potential and electric field are respectively

Options

  • `"Q"/(4πε_0"R")` and zero 

  • `"Q"/(4πε_0"R") "and" "Q"/(4πε_0"R"^2)` 

  • zero and `"Q"/(4πε_0"R"^2)` 

  • Both are zero 

MCQ

Solution

`"Q"/(4πε_0"R")` and zero 

Explanation:

At the centre of the conducting sphere of radius R, the

electric potential (JI) and electric field (E) are respectively.

V = `"Q"/(4πε_0"R")` and E = 0

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