Question

Consider three charges q1 = 6.3 µC, q2 = 1.0 µC, and q3 = -3.1 µC, arranged as shown below

.5 +-------- +- - - - - E 3.0 cm — + 2.0 cm -

(a) What is the electric field at a point 1.0 cm to the left of the middle charge? N/C


(b) What is the magnitude of the force on a 1.9 µC charge placed at this point? N

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Answer #1

a) The electric field at 1 cm to the left of middle charge is

93 EK 91 (0.03 -0.01)2 92 0.012 (0.01 +0.02)

or

6.3 3.1 E = 8.99 x 109 x 10-6 (0.03 – 0.01)2 0.012(0.01 +0.02)

or the electric field is

E = 8.27 x 10 N/C

the direction is towards right

b) the magnitude of the force on 1.9 uC charge at this point is

F = E= 1.9 x 10-6 x 8.27 x 107 = 157.05 N

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