Three point charges are located on a circular arc as shown in the figure below.

Question

Three point charges are located on a circular arc as shown in the figure below. (Let r = 3.76 cm. Let to the right be the +x direction and up along the screen be the +y direction.) What is the total electric field at P, the center of the arc? Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully.} Find the electric force that would be exerted on a -4.99 nC point charge placed at P.

Explanation / Answer

a) electric field due to a charge point at distance r = kq / r^2

Net field at P = due to upper 3nC + due to -2nC + due to bottom 3nC

=[ (9 x 10^9 x 3 x 10^-9)/(0.0376^2) (cos30i - sin30j)] + [ (9x 10^9 x 2 x10^-9)/(0.0376^2) (-i)]

+ [ (9 x 10^9 x 3 x 10^-9) / (0.0376^2) (cos30i + sin30j) ]

= [16539.36i - 9549 j ] + [-12732i] + [16539.36i + 9549 j ]

= 20346.72i N/C

E = 20346.72i N/C ......Ans

b) F = qE = -4.99 x 10^-9 x 20346.72i = - 1.02 x 10^-4 i N

F = (-1.02 x 10^-4) i + (0 )j

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