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AIIMS2012PhysicsCurrent Electricity

Calculate I for the given circuit diagram.

Options

  1. A10 ~A
  2. B5 ~A
  3. C2.5 ~A
  4. D20 ~A

Correct answer

A. 10 ~A

Step-by-step solution

It is a balanced Wheatstone bridge. Hence no current flows through resistance of arm BDand the resistance of arm BD is ineffective R_ A B R_ B C = R_ A D R_ D C ® ® = ® ๑ Resistance of arm A B C=5 +5 =10 Resistance of arm A D C=5 +5 =10 The effective resistance between A and C is 1 R_ A C = 1 10 + 1 10 or R_ A C =5 Now the equivalent circuit becomes The equivalent resistance of the circuit 1 R = 1 5 + 1 5 or R=2.5 Current in the circuit, I= V R = 25 2.5 =10 ~A

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