MHT CET202016 Oct 2020Morning ShiftPhysicsElectrostaticsActual
Surface density of charge on a charged conducting sphere of radius 'R' in terms of electric intensity 'E' at a distance 'r' in free space is ( r > R , E ₀= . permittivity of free space )
Options
- A₁ ₀ E R r
- Bv² ₀ E ( r R )²
- Cx₃ ₀ E r R
- Dx⁴ ₀ E ( R r )²
Correct answer
B. v² ₀ E ( r R )²
Step-by-step solution
E= 1 4 ₀ Q r² = 1 4 ₀ 4 R² r² = R² ₀ r² =E ₀ ( r R )²