AP EAMCET20228 Jul 2022Morning ShiftPhysicsElectrostaticsActual
A large charged plane having surface charge density 4.9 10⁻⁶ C m ⁻² lies in the x - y plane. A circular plane of radius of 1 ~cm is lying completely in the region where x , y and z coordinates are all positive. When the plane's normal makes an angle 60^ with the z-axis, the electric flux through the circular plane is ( 1 4 ₀ =9 10^9 Nm ^2 C ⁻² )
Options
- A43.56 ~N ~m ^2 C ⁻¹
- B48.36 ~N ~m ^2 C ⁻¹
- C36.76 ~N ~m ^2 C ⁻¹
- D32.56 ~N ~m ^2 C ⁻¹
Correct answer
A. 43.56 ~N ~m ^2 C ⁻¹
Step-by-step solution
= E A aligned & = EA 60^ & = 2 ₀ ~A 1 2 = A 4 ₀ = 4.9 10⁻⁶ (0.01)^2 4 8.85 10⁻¹² & =43.56 Nm ^2 C ⁻¹ aligned