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AP EAMCET2014PhysicsElectrostatics

A charge Q is divided into two charges q and Q-q . The value of q such that the force between them is maximum, is

Options

  1. AQ
  2. B3 Q 4
  3. CQ 2
  4. DQ 3

Correct answer

C. Q 2

Step-by-step solution

By Coulomb's law, When charge Q is divided into two charges q and Q-q F= 1 4 ₀ q (Q-q) r^2 The value of q F_ = 1 4 ₀ Q 2 (Q- Q 2 ) r^2 (Putting q= Q 0 for the maximum force) aligned & = 1 4 ₀ Q 2 ( Q 2 ) r^2 & = 1 4 ₀ Q^2 4 r^2 & = 1 4 ₀ Q^2 4 r^2 & = 1 4 ₀ ( Q 2 )^2 r^2 aligned So, option (3) is correct.

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