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Three point charges of 2.00 Micro-C, 7.00 Micro-C, and -4.00 Micro-C are located at the corners of an equilateral triangle as shown to the right. The two on the x-axis are in fixed positions.

distance between 7 Micro-c and -4 Micro-c is 0.5m and 2 Micro-c is 60 degrees

a) Set up the x-axis horizontally, the y-axis vertically, and the origin placed at the location of the
7.00- Micro-C charge. Project all the electric forces on x and y axes. Calculate the x and y components of each electric force.

b) Calculate the net electric forces in both x and y directions.

c) Calculate the total net electric force on the 7.00- Micro-C charge.

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a) F1 = -K*7*4*10^-12/0.5^2 i
F2 = K*7*2*10^-12 /0.5^2 [ cos(60)i + sin(60)j]
F3 =  K*4*2*10^-12 /0.5^2 j

b) Fx = K*7*2*10^-12 /0.5^2 [ cos(60)i ]-K*7*4*10^-12/0.5^2 i = 0.504*1/2 - 1.008 = -3*1.008/4 = -0.756i
Fy = K*7*2*10^-12 /0.5^2 [ sin(60)j]+ K*4*2*10^-12 /0.5^2 j = 0.504*1.732/2 +1.008 = 1.44 j
c) F =sqrt [(Fx)^2+(Fy)^2 ] = 1.63N
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