Three point charges are placed on the x-y plane as follows. Charge q_1=2.0 n_C i

Question

Three point charges are placed on the x-y plane as follows. Charge q_1=2.0 n_C is located at (x, y)=(1 m, 2 m), and charge q_2=2.0 n_C is at (-1 m, 2 m). Charge q_3=4.0 n_C is located at (x, y)=(0.0 m, 0.0 m). The three charges form a triangle. If they are held in place by three tiny strings (forming the three sides of the triangle), what is the magnitude of the tension in each string? If the three charges in the triangle in problem 6 are brought in from infinity, how much work must be performed to assemble the triangle?

Explanation / Answer

r = sqrt(1^2+2^2) = 2.24 m

F13y = F23y = (9*10^9*2*10^-9*4*10^-9*2)/(2.24^3) = 1.28*10^-8 N

Tension Fnet =2*Fy = 2*1.28*10^-8* = 2.56*10^-8 N

7)

U = k*q1*q2/r12 + k*q2*q3/r23 + k*q1*q3/r13

U = (9*10^9/2.24)*((2*2)+(2*4)+(2*4))*10^-18 = 8.04*10^-8 J

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