MHT CET20242 May 2024Morning ShiftPhysicsElectrostaticsActual
A uniformly charged conducting sphere of diameter 14 cm has surface charge density of 40 Cm ⁻² . The total electric flux leaving the surface of the sphere is nearly (Permittivity of free space =8.85 10⁻¹² SI unit )
Options
- A40 kWb
- B140 kWb
- C240 kWb
- D280 kWb
Correct answer
D. 280 kWb
Step-by-step solution
Electric flux = q ₀ = 4 r ^2 ₀ aligned & = 4 3.14 (7 10⁻² )^2 40 10⁻⁶ 8.85 10⁻¹² & = 4 3.14 49 10⁻⁴ 4 10⁻⁵ 8.85 10⁻¹² & = 4 3.14 49 4 10^3 8.85 & =278 10^3 280 10^3 ~Wb & =280 kWb aligned