Question

In the given circuit below, the points A,B and C are at same potential. If the potential difference between B and D is 30 V, then the potential difference between A and O is

A
7.5 V
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B
10 V
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C
15 V
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D
5 V
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E
3.75 V
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Solution

The correct option is A 7.5 VPotential difference between the points O and D (VOD) is 3 times the potential difference between B and O(VBO).From the figure,VBD=VBO+VOD⇒VBD=VBO+3VBO⇒VBD=4VBO=VBO=304=7.5 V.Now, points A and D have same potential.So, VAO=VOD=VBO=7.5 V.

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