A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the centre of the sphere respectively are:

  • Option 1)

    Zero and \frac{\text{Q}}{4\pi\epsilon_{\text{o}}\text{R}^{2}}

  • Option 2)

     and Zero

  • Option 3)

     and \frac{\text{Q}}{4\pi\epsilon_{\text{o}}\text{R}^{2}}

  • Option 4)

    Both are zero

 

Answers (1)

As discussed (Concept missing)

For conducting sphere,

Potential at the center=Potential on the sphere

                                 =\frac{1}{4\pi \varepsilon _{o}} \: \frac{Q}{R}

 

Electric field at the centre=0


Option 1)

Zero and \frac{\text{Q}}{4\pi\epsilon_{\text{o}}\text{R}^{2}}

This option is incorrect

Option 2)

 and Zero

This option is correct

Option 3)

 and \frac{\text{Q}}{4\pi\epsilon_{\text{o}}\text{R}^{2}}

This option is incorrect

Option 4)

Both are zero

This option is incorrect

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