Question

PHYS 1402 (General Physics II) Homework 1 To highligh 2q 6q 5q 1. Eight charged particles are arranged, in a circle, a distance d from a cen- tral observation point. There is equal angular spacing between the charged particles. Find the expression for the electric field at the central observa- tion point.

Answer 1

E rightarrow = E_1 rightarrow + E_2 rightarrow + E_3 rightarrow + E_4 rightarrow + E_5 rightarrow + E_6 rightarrow + E_7 rightarrow + E_8 rightarrow = -q/4 pi epsilonvariant_0 d^2 j - 2 q/4 pi epsilonvariant_0 d^2 cos 45 i - 2 q/4 pi epsilonvariant_0 d^2 sin 45 j - 3 q/4 pi epsilonvariant_0 d^2 i - 4 q/4 pi epsilonvariant_0 d^2 cos 45 i + 4 q/4 pi epsilonvariant_0 d^2 sin 45 j + 5 q/4 pi epsilonvariant_0 d^2 j + 6 q/4 pi epsilonvariant_0 d^2 i + 6 q/4 pi epsilonvariant_0 d^2 sin 45 j + 7 q/4 pi epsilonvariant_0 d^2 i + 8 q/4 pi epsilonvariant_0 d^2 cos 45 i - 8 q/4 pi epsilonvariant_0 d^2 sin 45 j = q/4 pi epsilonvariant_0 d^2 [(-2 cos 45 degree - 3 - 4 cos 45 degree + 6 cos 45 degree + 7 + 8 cos 45 degree)i + (-1 -2 sin 45 degree +