Notes

Electric Field due to Charged Conducting Sphere…

Electric Field due to Charged Conducting Sphere – If a charge on a conducting sphere of radius R is Q and σ is surface charge density as shown in the figure below, then electric field in different situations are
(i) Outside the sphere – If point p lies outside the sphere,
E_out = 1/4πε₀×Q/r² = σR²/ε,sub>0 r² [∵ Q = σ × A]
(ii) At the surface of sphere – At surface, r = R
So, E_s = 1/4πε₀ × Q/R² = σ/ε₀
(iii) Inside the sphere – Inside the conducting change sphere, electric field is zero. E_in = 0