Wheatston bridge balancing condition

 WHEATSTONE BRIDGE

   

Condition for balancing of bridge :

Applying Kirchhoff`s first law

                   The At junction B I₁ =I₃+I_G

                          At junction D   I₂+I_G  =I₄

                 

Applying Kirchhoff’s second law for closed loop ABDA, 

                                           

Applying Kirchhoff’s second law for closed loop BCDB , 

                                                                    

The values of P, Q, R, S are adjusted such that  becomes zero. At this stage the bridge is set to be in balance condition.

i.e., In balanced condition of bridge I_G = 0 

  In balanced condition the above equations respectively become 

 I₁ =I₃  …..(1)

        I₂  =I₄  …..( 2)

        I₁P=I₂R  …..(3)

         I₃Q =I₄ S   …..(4)

    Eq3 divide with  Eq4

Using equations (1) and (2) we get

...….(5)

  This is the balancing condition for Wheat stone bridge.

          

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