MHT CET · Physics · Current Electricity
The potential difference \(\left(V_A-V_B\right)\) between the points A and B in the given part of the circuit

- A -13 V
- B 13 V
- C -23 V
- D 23 V
Answer & Solution
Correct Answer
(D) 23 V
Step-by-step Solution
Detailed explanation
Given circuit can also be drawn as,

By Kirchhoff's voltage law,
\(\begin{array}{ll}
& \mathrm{V}_{\mathrm{A}}-(4 \times 3)-(5)-(2 \times 3)-\mathrm{V}_{\mathrm{B}}=0 \\
\therefore \quad & \mathrm{~V}_{\mathrm{A}}-12-5-6-\mathrm{V}_{\mathrm{B}}=0 \\
\therefore \quad & \mathrm{~V}_{\mathrm{A}}-\mathrm{V}_{\mathrm{B}}=+23 \mathrm{~V}
\end{array}\)

By Kirchhoff's voltage law,
\(\begin{array}{ll}
& \mathrm{V}_{\mathrm{A}}-(4 \times 3)-(5)-(2 \times 3)-\mathrm{V}_{\mathrm{B}}=0 \\
\therefore \quad & \mathrm{~V}_{\mathrm{A}}-12-5-6-\mathrm{V}_{\mathrm{B}}=0 \\
\therefore \quad & \mathrm{~V}_{\mathrm{A}}-\mathrm{V}_{\mathrm{B}}=+23 \mathrm{~V}
\end{array}\)
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