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  • Solve! A conducting sphere of radius R is given a chargeQ. The electric potential and the electric field at the centre of the sphere respectively are:

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{Q}{4 \pi \varepsilon R^{2}}

  • Option 2)

    \frac{Q}{4 \pi \varepsilon_{0} R} and Zero

  • Option 3)

    \frac{Q}{4 \pi \varepsilon_{0} R} and \frac{Q}{4 \pi \varepsilon_{0} R^{2}}

  • Option 4)

    Both are zero

 

Answers (1)

best_answer

 

Inside the sphere (P lies inside the sphere) -

E_{in}=0

V_{in}=constant

- wherein

 

The electric field inside conducting sphere =0

potential inside conducting sphere = \frac{Q}{4\pi \epsilon_{0}R}

 


Option 1)

zero and \frac{Q}{4 \pi \varepsilon R^{2}}

Incorrect

Option 2)

\frac{Q}{4 \pi \varepsilon_{0} R} and Zero

Correct

Option 3)

\frac{Q}{4 \pi \varepsilon_{0} R} and \frac{Q}{4 \pi \varepsilon_{0} R^{2}}

Incorrect

Option 4)

Both are zero

Incorrect

Posted by

Plabita

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