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Question

In the circuit shown in figure, potential difference between points A and B is 16V. The current passing through 2Ω resistance will be:

A
2.5A
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B
3.5A
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C
4.0A
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D
Zero
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Solution

The correct option is B 3.5AAssume the values of current in the main branch as well as in the loop.Write equations of KCL and KVL for the loop and the branch.Let the current in the 2 ohm resistor be i1+i2i1+i2then using KVL equation in closed loop9+i2−2(i1+i2)=0.......................(1)4i1+2(i1+i2)−3+4i1=16...............(2)solvingweget,i1=1.5andi2=2Thus current through 2 ohm resistor is 3.5 ohmsOption B is correct.

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