COMEDK2020PhysicsElectrostatics
Consider a thin spherical shell of radius R consisting of uniform surface charge density s . The electric field at a point of distance x from its centre and outside the shell is
Options
- Ainversely proportional to s
- Bdirectly proportional to x²
- Cdirectly proportional to R
- Dinversely proportional to x²
Correct answer
D. inversely proportional to x²
Step-by-step solution
Electric field due to thin spherical shell at a distance x outside from the centre is given as E= 1 4 ₀ Q x² where, aligned Q &=s A &=s 4 R² aligned From Eq. (i), we get E= 1 4 ₀ s 4 R² x² = s R² ₀ x² E 1 x²