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Resistance and Resistors

In the circui...

Question

In the circuit shown in figure, find the potential of $B$ and the current through $1 Ω$ resistance.

A

3 V, 7.5 A

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B

2 V, 3 A

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C

15 V, 3 A

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D

5 V, 7.5 A

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Solution

The correct option is B $2 V, 3 A$
As $A$ is grounded, $V_{A} = 0$

$V_{B} = V_{A} + 2 = 2 V$
$V_{C} = V_{A} + 5 = 5 V$
$V_{D} = V_{C} + 10 = 15 V$
$∴ i_{1} = \frac{V_{C} - V_{B}}{1} = 3 A$

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