Hello, would anyone kindly show the work to this problem? I know the answer is 5

Question

Hello, would anyone kindly show the work to this problem? I know the answer is 5.0*10^3 N/C at 22 degrees but I'm having difficulty understanding the problem itself.

Three point charges are fixed at corners of a rectangle as shown. Q1 = -3 uC, Q2= 4 uC, Q3=5 uC. The net electric field at point P due to all three charges is equal to (magnitude and direction wrt the + y-axis)

Hello, would anyone kindly show the work to this problem? I know the answer is 5.0*10^3 N/C at 22 degrees but I'm having difficulty understanding the problem itself. Three point charges are fixed at corners of a rectangle as shown. Q1 = -3 uC, Q2= 4 uC, Q3=5 uC. The net electric field at point P due to all three charges is equal to (magnitude and direction wrt the + y-axis)

Explanation / Answer

E2 = EF due to Q2 = KQ2/0.04^2 = 9e9 * 4e-6/0.04^2

E2 = 2.25 E7 N/C

E3 = 9e9 * -5e-6/(0.03^2) = 5 e7 N/C

as these two act at right angles

Enet of 2 and3 = sqrt(2.25^2+ 5^2) =5.48 e7 N/C

for q1, distance = sqrt(0.03^2+0.04^2) =0.05

E1 = 9e9 * -3e-6/(0.05^2 = 1.08 e7 N/C

so ENet =sqrt* Enet 2 and 3^2 + E1^2 + 2E1E2 cos theta)

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