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AP EAMCET · PHYSICS · Electrostatics

The force between two conducting spheres of same radius having charges \(+8 \mu \mathrm{C}\) and \(-4 \mu \mathrm{C}\) separated by some distance in air is \(F\). If the spheres are connected by a conducting wire and after some time the wire is removed, then the magnitude of the force between the two conducting spheres is

  1. A \(F\)
  2. B \(\frac{F}{2}\)
  3. C \(\frac{F}{8}\)
  4. D \(\frac{F}{4}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(\frac{F}{8}\)

Step-by-step Solution

Detailed explanation

Initial charges: \(q_1 = +8 \, \mu \mathrm{C}\), \(q_2 = -4 \, \mu \mathrm{C}\) Initial force \(F \propto |q_1 q_2| = |(+8)(-4)| = 32\) Total charge \(Q_{total} = q_1 + q_2 = +8 \, \mu \mathrm{C} - 4 \, \mu \mathrm{C} = +4 \, \mu \mathrm{C}\) Final charges:…
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