n Figure 21-40, three identical conducting spheres form an equilateral triangle

Question

n Figure 21-40, three identical conducting spheres form an equilateral triangle of side length d = 28.4 cm. The sphere radii are much smaller than d and the sphere charges are qA = -2.62 nC, qB = -4.72 nC, and qC = +9.89 nC. (a) What is the magnitude of the electrostatic force between spheres A and C? The following steps are taken: A and B are connected by a thin wire and then disconnected; B is grounded by the wire, and the wire is then removed; B and C are connected by the wire and then disconnected. What now are the magnitudes of the electrostatic force (b) between spheres A and C and (c) between spheres B and C?

Explanation / Answer

force bwn A and C = K qa qc / d^2 = 8.9X 19^9 X(- 2.62 nC) X (+9.89 nC.)/ 0.284^2 = 2.859 X 10^-6 N. and attractive in nature. when A and B are connected, charge is distributed equally. = -(2.62 + 4.72 )/ 2 = -3.67. bis grounded, so the charge is lost Qb= 0 b and C are connected. ==> Qc final= Qb= Qc inital/2 = 4.945 nC. Forces A and C= 2X 10^-6 N. B and C= 2.69 X 10^-6 N

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