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Question

The given four terminal network is part of a larger circuit. The points A,B,C are at the same potential. The potential difference between any one of A,B or C and D is 40 V. The potential difference between A and O is

A
10 V
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B
15 V
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C
18 V
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D
20 V
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Solution

The correct option is A 10 V
According to Kirchhoff's Junction Law:

ICO+IBO+IAO=IOD

VCVOR+VBVOR+VAVOR=VOVDR
(VA=VB=VC)

3(VAVOR)=VOVA+VAVDR

3(VAVOR)=(VAVOR)+(VAVDR)

4(VAVOR)=VAVDR

4(VAVO)=40

VAVO=10 V

Hence, the correct answer is (A).

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