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Question

# A battery of emf 10 V is connected to a group of resistances as shown in figure. The potential difference (VAâˆ’VB) between the points A and B is

A
2 V
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B
2 V
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C
5 V
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D
2011 V
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Solution

## The correct option is B 2 V Resistance between upper branch and lower branch in parallel part is same, so equal amount of current flows through them. Let the total current is i. ∴i=VReq Equivalent resistance of circuit Req=3+4×44+4=3+2=5 Ω ∴i=105=2 A So, current in each branch will be 1 A. Now, VC−VA=1×1=1 V .......(1) Also, VC−VB=1×3=3 V ........(2) Solving eqs.(1) and (2), we get VA−VB=3−1=2 V Hence, the correct option is (b).

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