Multiple choice

If V ( = q/4πεor) is the potential at a distance r, due to a point charge q. Calculate the electric field?

  1. 1/4 π Є . q/r²

  2. q/4πεor2

  3. 1/4 π Єo Єr . q/r²

  4. P/4πεor3

  5. 4πεor
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B Correct answer
Explanation

Applying Gauss’s Law and Putting values E x 4πr2 = q / ε₀ or E= q / 4πεor2 This expression is same as electric field due to a point charge q placed at distance r,  i.e. in this case if complete charge q is placed at the centre of shell the electric field is same. 

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