AP EAMCET20226 Jul 2022Evening ShiftPhysicsElectrostaticsActual
Four charges, each charge q coulomb are placed at points (-1,0,0),(1,0,0),(0,-1,0) and (0,1,0) in the x y -plane. The distance along the axes are measured in metres. The magnitude of the electric field at the point z=1 ~m on the Z -axis is
Options
- A1 2 2 q ₀ ~N / C
- B1 4 q ₀ ~N / C
- Cq ₀ ~N / C
- Dq 2 ₀ N / C
Correct answer
A. 1 2 2 q ₀ ~N / C
Step-by-step solution
The given situation is shown below. According to given situation we have to find electric field at point P(0,0,1) . Distance of point P from each charges is equal to aligned 1^2+1^2 & = 2 E_ A P & =E_ B P =E_ C P =E_ D P = 1 4 ₀ q ( 2 )^2 & = 1 4 ₀ q 2 aligned E_ A P and E_ B P are perpendicular to each other. Let E^ be the resultant electric field of E_ A P and E_ B P , then array rlr E^ & = E_ A P ^2+E_ B P ^2 = 2 E_ A P ^2 [ E_ A P =E_ B P ] & =E_ A P 2 & = 1 4 ₀ q 2 2 = 1 4 ₀ q 2 E^ & = 1 4 ₀ q 2 array In the s