Three charged marbles are glued to a nonconducting surface and are placed in the

Question

Three charged marbles are glued to a nonconducting surface and are placed in the diagram as shown. The charges of each marble are q1 = 5.95 µC,q2 = 1.65 µC, and

q3 = 1.53 µC.

Marble q1 is a distance r1 = 3.00 cm to the left of the marble q2, while marble q3 is a distance r3 = 2.00 cm to the right of the marble q2, as shown. Calculate the magnitude of the electric field a distance r' = 1.00 cm to the left of the center marble.
Answer in N/C

Another marble is placed 1 cm to the left of the middle marble. If this new marble has a charge of

3.52 µC,

calculate magnitude and direction of the force on it.

Explanation / Answer

the direction of electric field at r'

due to q1 - to right

due to q2 - to left

due to q3 - to right

E = kq/r

E = E1 + E2 + E3

E = [k*5.95x 10^-6 / (0.02)^2 ]- [k*1.65 x 10^-6 / (0.01)^2 ] + [k*1.53 x 10^-6/(0.03)2]

E = 6.75 x 10^5 N/C right side

F = qE

F = -3.52 x 10^-6 x 6.75 x 10^5

F = -2.376 N left side

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