Question

The magnitude of electric field due to a point charge 2q, at distance r is E. Then the magnitude of electric field due to a uniformly charged thin spherical shell of radius R with total charge q at a distance `r/2` (r >> R) will be ______.

Options

• `E/4`

• 0

• 2E

• 4E

Answer 1

The magnitude of electric field due to a point charge 2q, at distance r is E. Then the magnitude of electric field due to a uniformly charged thin spherical shell of radius R with total charge q at a distance `r/2` (r >> R) will be 2E.

Explanation:

Electric field due to the point charge = E

= `(K xx 2q)/r^2`

Electric field due to the spherical shell

= E' 

= `(K xx q)/(r//2)^2`

= 2E