Question

Two small identical conducting spheres are placed with their centers 0.41 m apart. One is given a charge of 12 ✕ 10−9 C, the other a charge of −17 ✕ 10−9 C.

Two small identical conducting spheres are placed with their centers 0.41 m apart. One is given a charge of 12 x 10-9 C, the other a charge of -17 x 10-9 C. (a) Find the electrostatic force exerted on one sphere by the other. magnitude direction attractive (b) The spheres are connected by a conducting wire. Find the electrostatic force between the two after equilibrium is reached, where both spheres have the same charge. magnitude N direction repulsive

Answer 1

a)

F = k q1 q2 / r^2

F = 9* 10^9* 12* 17* 10^-18 / 0.41^2

F = 1.092* 10^-5 N

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b)

equilibrium charge on each sphere

q = ( 12 - 17) / 2 = 2.5 uC

net force between two

F = 9* 10^9* (2.5* 10^-9)^2 / 0.41^2

F = 3.346* 10^-7 N

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