Two spherical , noncoducting and very tin shells of unifromly distributed jpositive charge `Q` and radiuy d are located a distance ` 10d` from each other . A positive point charge q is placed inside one of the shells at a dustabce ` d//2` from the center, on the line connecting the centers of the two shells , as shown in the figure, What is the net force on the charge `q` ? .

Options

A. ` (qQ)/(3 61 pi varepsilon_0 d^2) ` to the left
B. `(qQ)/(36 1 pi varepsilon_0 pi d^2) ` to the right
C. ` ( 362qQ)/(36 1 pi varepsilon_0d^2)` to the left
D. `(36 0qQ)/(36 1 pi varepsilon_0d^2)` to the right

Answer

A

Explanation

Field at `q` will be due to second spherical shall
` F=qE`
`=q xx 1/(4 pi in_0) Q/( 10d -d/2)^2`
` vec F = (qQ)/(36 1 pi in_0d^2)` towatds left.