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Question -

Suppose the spheres A and B inExercise 1.12 have identical sizes. A third sphere of the same size butuncharged is brought in contact with the first, then brought in contact withthe second, and finally removed from both. What is the new force of repulsionbetween A and B?



Answer -

Distance between the spheres, Aand B, r = 0.5 m

Initially, the charge on eachsphere, q = 6.5 × 10−7 C

Whensphere A is touched with an uncharged sphere C,  amount of charge from A will transfer to sphereC. Hence, charge on each of the spheres, A and C, is
When sphere C with charge  is brought in contact withsphere B with charge q, total charges on the system will divideinto two equal halves given as,
Each sphere will share each half. Hence, charge oneach of the spheres, C and B, is.
Force of repulsion between sphere A havingcharge  and sphere B having charge .

Therefore, the force of attractionbetween the two spheres is 5.703 × 10−3 N.


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