Which of the following is correct?
A) \[{{V}_{A}}-{{V}_{D}}={{V}_{B}}-{{V}_{C}}\]
B) \[{{V}_{B}}-{{V}_{D}}={{V}_{D}}-{{V}_{C}}\]
C) \[{{V}_{A}}-{{V}_{B}}=2({{V}_{A}}-{{V}_{D}})\]
D) \[{{V}_{B}}=2{{V}_{D}}\]
Correct Answer: A
Solution :
[a] Section ABCD forms a balanced Wheatstone bridge. Therefore \[{{V}_{B}}={{V}_{D}}\].Hence current in branch ABC and ADC will be equal. It means the potential difference across the resistances connected between A & B ,B & C, A & D and D & C should be equal. It means \[{{V}_{A}}-{{V}_{D}}={{V}_{B}}-{{V}_{C}},\] hence option (1) is correct.
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