Two identical small charged spheres are a certain distance apart, and each one i

Question

Two identical small charged spheres are a certain distance apart, and each one initially experiences an electrostatic force of magnitude F due to the other. With time, charge gradually diminishes on both spheres by leaking off. When each of the spheres has lost a quarter of its initial charge, what will be the magnitude of the electrostatic force on each one?

3) Two identical small charged spheres are a certain distance apart, and each one initially experiences an electrostatic force of magnitude F due to the other. With time, charge gradually diminishes on both spheres by leaking off. When each of the spheres has lost quarter of its initial charge, what will be the magnitude of the electrostatic force on each one? A) 1/16 F B) 1/8 F C) 9/16 F D) 1/2 F E) 1W4F Answer: C

Explanation / Answer

The magnitude of the electrostatic force is directly proportional to the charges of each sphere. Since the charge of each sphere is halved, the electrostatic force will decrease by a factor of 2*2 = 4. Thus, the new force will be F/4 and the answer is (C).

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