Question #98780
Two point charges are located on the x axis of a coordinate system q1=1.0nC is at x=+2.0cm, and q2=-3.0nC is at x=+4.0cm. what is the total electric force exerted by q1 and q2 on a charge q3=5.0nC at x =0?
1
Expert's answer
2019-11-18T10:44:55-0500

The total electric force on the third charge caused by charges 1 and 2 is the sum of the forces of both charges (1 and 2) acting on the charge 3 located at the beginning of coordinate (i.e. at x3=0x_3=0):


FT=14πϵ0q1q3(x1x3)2+14πϵ0q2q3(x2x3)2= =1.12104 N.F_T=\frac{1}{4\pi\epsilon_0}\frac{q_1q_3}{(x_1-x_3)^2}+\frac{1}{4\pi\epsilon_0}\frac{q_2q_3}{(x_2-x_3)^2}=\\ \space\\ =1.12\cdot10^{-4}\text{ N}.

Substitute charges with their signs and don't forget that nano- means you must multiply by 10910^{-9}!


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