Two identical conducting small spheres are placed with their centers 0.230 m apa

Question

Two identical conducting small spheres are placed with their centers 0.230 m apart. One is given a charge of 12.0 nC and the other a charge of -14.0 nC. (a) Find the electric force exerted by one sphere on the other.

N

Direction:

1- toward the other sphere

2- away from the other sphere

(b) The spheres are connected by a conducting wire. Find the electric force each exerts on the other after they have come to equilibrium.

direction:

1- toward the other sphere

2- away from the other sphere

N

Explanation / Answer

a)
Force = k*q1*q2/d^2

Force = 9*10^9 * 12*10^-9 * 14*10^-9 / 0.23^2

Force = 2.85 *10^-5 N

Direction : 1- toward the other sphere

b)
then ,

q1 = q2 = 12-14/2 = -1nc

Force = k*q1*q2/d^2

Force = 9*10^9 * 1*10^-9 * 1*10^-9 / 0.23^2

Force = 1.701*10^-7 N

Direction : 2- away from the other sphere

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