The four cases below all show a ball with a charge of -3q at the top right corne

Question

The four cases below all show a ball with a charge of -3q at the top right corner of a square. Then there is either one, two, or three additional charged balls, each ball located at a different comer of the square. For parts (b) and (c), use q = 3.40 times 10^-6 C, and L = 60.0 cm, as well as k = 9.00 times 10^9 N middot m^2/C^2. (a) Rank the eases based on the magnitude of the net electrostatic force experienced by the ball of charge -3q, from largest to smallest. (Use only ">" or symbols. Do not include any parentheses around the letters or symbols.) (b) In Case B, calculate the magnitude of the net electrostatic force acting on the ball of charge -3q. (c) In Case D, calculate the magnitude of the net electrostatic force acting on the ball of charge -3q.

Explanation / Answer

A)

Ans: A>C>B=D

In case B and D, the force remains the same and less than the forces on other two cases.

in case D, the force due to +q at one corner is canceled with other force due to +q charge at other opposite corner. So, the force in case D is equal to the force in case B.

B)

The force is,

F = [3sqrt(2)]kq2/L2 =  [3sqrt(2)](9*109)(3.4*10-6)2/(0.6)2 = 1.226 N

C)

The force is,

F = [sqrt(2)-1]3kq2/L2 =  [sqrt(2)-1]*3*(9*109)(3.4*10-6)2/(0.6)2 = 0.359 N

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