The potential difference ( V A − V B ) between the points ' A ' and ' B ' in the given part of the circuit is

Question

The potential difference ( V A ​ − V B ​ ) between the points ' A ' and ' B ' in the given part of the circuit is

TestHub · Accepted Answer

Applying Kirchhoff's Voltage Law (KVL) from point A to point B:

Moving in the direction of the current, the potential decreases across the resistors. For the given element with a $3 V$ potential difference, moving from the positive ( $+$ ) terminal to the negative ( $-$ ) terminal also represents a drop in potential.

The equation for the potential is:
$V_{A} - I (2 Ω) - 3 V - I (1 Ω) = V_{B}$

Given that the current $I = 2 A$ :
$V_{A} - (2) (2) - 3 - (2) (1) = V_{B}$

$V_{A} - 4 - 3 - 2 = V_{B}$

$V_{A} - 9 = V_{B}$

$V_{A} - V_{B} = 9 V$

Answer: 9 V

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