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AP EAMCET20225 Jul 2022Evening ShiftPhysicsElectrostaticsActual

A charge Q is to be divided between two objects. The values of the charges on the objects so that the electrostatic force between them will be maximum is

Options

  1. AQ 2 , Q 2
  2. BQ 3 , 2 3 Q
  3. CQ 4 , 3 4 Q
  4. DQ 5 , 4 5 Q

Correct answer

A. Q 2 , Q 2

Step-by-step solution

Let charge on one object be 'q', then on other object it is ' Q - q ^ So, F _ e = K q ( Q - q ) r ^2 . For F _ e to be maximum, dF _ e dq =0 Now, dF _ e dq =0 d dq [ qQ - q ^2 ]=0 Q -2 q =0 q = Q 2 Then, ( Q - q )= Q - Q 2 = Q 2 So, force will be maximum when magnitude of charges are Q 2 and Q 2 .

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