If someone could help me with this question that would be great. I have read the

Question

If someone could help me with this question that would be great. I have read the textbook but have not been able to find a similar example or format.

Thank you very much for all your help in advance

One very small uniformly charged plastic ball is located directly above another such charge in a test tube as shown in the figure. The balls are in equilibrium a distance apart. If the charge on each ball is doubled, the distance between the balls in the test tube would become

a. 4d b. sqrt (2)d c. 8d d. 2d

Explanation / Answer

in the first case : F = (k q1q2) / d^2 when the charges are doubled the force becomes : F2 = k (2q1)(2q2) / y^2 equating F1 and F2 yields : (k q1q2) / d^2 = (4k q1q2) / y^2 hence 1 /d^2 = 4 /y^2 so 4d^2 = y^2 hence y = 2d

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