5. A positive charge q = 4 nC is placed at the origin in the sketch at right. Ne

Question

5. A positive charge q = 4 nC is placed at the origin in the sketch at right. Negative charges of the same magnitude are placed a = 0.5 cm from the origin on both the positive x-axis and the negative y-axis as shown. The magnitude and direction of the net force on the charge at the origin is closest to: A) 0.0082 N, 450 clockwise from the x-axis B) 0.0051 N, 2250 counterclockwise from the x-axis C) 0.34 N, 45° clockwise from the x-axis D) 0.0013 N, 225° clockwise from the x-axis -q E) 0.57 N, 1350 counterclockwise from the x-axis

Explanation / Answer

magnitude of force would be same by both charges and will be equal to

= kq1q2 / r^2

= 9*10^9*(4*10^-9)^2 / 0.005^2

= 5.76*10^-3 N/C

net force = sqrt(5.76^2 + 5.76^2) * 10^-3 = 0.0082

angle = tan^-1(5.76/5.76) = 45o clockwise from the x-axis

so option A) is the correct answer

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