JIPMER2014PhysicsElectrostatics
If the electric flux entering and leaving an enclosed surface respectively are , and ₂ , the electric charge inside the surface will be
Options
- A₂- ₁ ₀
- B₂+ ₁ ₀
- C₁- ₂ ₀
- D₀ ( ₁+ ₂ )
Correct answer
D. ₀ ( ₁+ ₂ )
Step-by-step solution
According to Gauss theorem "the net electric flux through any closed surface is equal to the net charge inside the surface divided by ₀ ^ . Therefore, q ₀ Let -q₁ be the charge, due to which flux ₁ is entering the surface, ₁= -q₁ ₀ -q₁= ₀ ₁ Let +q₂ be the charge, due to which flux ₂ is entering the surface. ₂= q₂ ₀ or q₂= ₀ ₂ So, electric charge inside the surface =q₂-q₁ aligned & = ₀ ₂+ ₀ ₁ & = ₀ ( ₂+ ₁ ) aligned