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Electrostatics question

2014 · Q119
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Electrostatics question

2014 · Q119

NEETPhysicsElectrostaticsMCQ+4 / −1
A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the centre of the sphere rrespectively are
  1. A
    zero and Q4πε0R2{Q \over {4\pi {\varepsilon _0}{R^2}}}4πε0​R2Q​
  2. B
    Q4πε0R{Q \over {4\pi {\varepsilon _0}R}}4πε0​RQ​ and zero
  3. C
    Q4πε0R{Q \over {4\pi {\varepsilon _0}R}}4πε0​RQ​ and Q4πε0R2{Q \over {4\pi {\varepsilon _0}{R^2}}}4πε0​R2Q​
  4. D
    both are zero
View written solutionFree

Correct answer: B

For the conducting sphere,
Potential at the centre = Potential on the sphere

=14πε0QR = {1 \over {4\pi {\varepsilon _0}}}{Q \over R}=4πε0​1​RQ​

Electric field at the centre = 0

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