Three charges are arranged as shown in the figure below. Find the magnitude and

Question

Three charges are arranged as shown in the figure below. Find the magnitude and direction of the electrostatic force on the charge q = 5.14 nC at the origin. (Let r12 = 0.305 m.)

direction ______

counterclockwise from the +x-axis

magnitude _____    N

direction ______

counterclockwise from the +x-axis

Three charges are arranged as shown in the figure below. Find the magnitude and direction of the electrostatic force on the charge q = 5.14 nC at the origin. (Let r12 = 0.305 m.) magnitude _____ N direction ______ ½ counterclockwise from the +x-axis

Explanation / Answer

Force on q due to + 6.00 nC charge
= - 9 x 10^9 * 5.14 x 10^-9 * 6.0 x 10^-9 / (0.305)^2 i N
= - 2.983 x 10^-6 i N

Force on q due to - 3.00 nC
= - 9 x 10^9 * 5.14 x 10^-9 * 3.0 x 10^-9 / (0.1)^2 j N
= - 13.878 x 10^-6 j N

Magnitude
= ?[(2.983)^2 + (13.878)^2] N
= 14.194 N Ans.

Direction
= 180

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