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Electric Potential and Potential Difference

Find the curr...

Question

Find the currents in branches 1, 2 and 3.

( 2,1,1 ) A

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( 2,2,2 ) A

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( 4,7,5 ) A

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( 0,8,6 ) A

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Solution

The correct option is A ( 2,1,1 ) A
Here the current in the branch 2 is $I_{2} = 1 A$
now apply KCL at node B , $I_{3} + 3 - 4 = 0$ or $I_{3} = 1 A$
and at node A, $I_{1} - I_{2} - I_{3} = 0$ or $I_{1} = I_{2} + I_{3} = 1 + 1 = 2 A$
Thus current at branches 1 , 2 and 3 are ( 2 , 1 , 1 ) A

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