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 = 4.70 nC at the origin. (Let r_12 = 0.235 m.) magnitude Use Coulomb's law to find the force that each charge exerts on the charge at the origin and combine the forces to find the net force. N direction Your incorrect answer may have resulted from roundoff error. Make sure you keep extra significant figures in intermediate steps of your calculation. degree counterclockwise from the +x-axis.

Explanation / Answer

Force on q due to + 6.00 nC charge
= - 9 x 10^9 * 4.7 x 10^-9 * 6.0 x 10^-9 / (0.235)^2 i N
= - 4.595 x 10^-6 i N

Force on q due to - 3.00 nC
= - 9 x 10^9 * 4.7 x 10^-9 * 3.0 x 10^-9 / (0.1)^2 j N
= - 12.69 j N

Magnitude
= [(4.595)^2 + (12.69)^2] N
= 13.49 N

Direction
= 180° + arctan[(13.49)/(4.59)]
= 251°.

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