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Electric Potential and Potential Difference

In the circui...

Question

In the circuit element given here, if the potential at B, $V_{B} = 0$ , then the potentials A and D are given as

V_{A} = - 1.5 V, V_{D} = + 2 V

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V_{A} = - 1.5 V, V_{D} = + 0.5 V

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V_{A} = + 1.5 V, V_{D} = + 0.5 V

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V_{A} = + 1.5 V, V_{D} = - 0.5 V

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Solution

The correct option is B $V_{A} = + 1.5 V, V_{D} = - 0.5 V$
Potential difference between $A$ and $B$
$V_{A} - V_{B} = 1 \times 1.5$
$\Rightarrow V_{A} - 0 = 1.5 V \Rightarrow V_{A} = 1.5 V$
Potential difference between $B$ and $C$
$V_{B} - V_{C} = 1 \times 1.25 = 2.5 V$
$\Rightarrow 0 - V_{C} = 2.5 V \Rightarrow V_{C} = - 2.5 V$
Potential difference between $C$ and $D$
$V_{C} - V_{D} = - 2 V \Rightarrow - 2.5 - V_{D} = - 2 \Rightarrow V_{D} = - 0.5 V$ .

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In the circuit element given here, if the potential at B, $V_{B} = 0$ , then the potentials A and D are given as