Question

A point charge 'q' is placed outside solid copper sphere at a distance 'r'from its centre. Consider point 'p' inside the solid sphere at a distance 'x' from the point charge. Then

• A. Charge density is uniform on the surface of the sphere
• B. Electric field due to induced charge at point 'p' is $\frac{kq}{x^2}$
• C. Electric potential due to induced charge at point 'p' is $\frac{kq}{r}$ $\frac{kq}{x}$
• D. There is a net force in the sphere towards the point charge 'q'

Answer 1

The correct option is B Electric field due to induced charge at point 'p' is $\frac{kq}{x^2}$

$\begin{array}{c}Since,\\ Pqinsideaconuctor,\\ So,E_{net}=f\\ Hence,\\ TotalelectricfieldatP.\\ E_{induced}-E_q=0\\ Hence,\\ E_{induced}=E_q-\frac{kq}{x^2}.\end{array}$

Hence,the option $B$ is the correct answer.