MHT CET · Physics · Current Electricity
The potential difference \(\left(\mathrm{V}_{\mathrm{A}}-\mathrm{V}_{\mathrm{B}}\right)\) between the points ' A ' and ' B ' in the given part of the circuit is
- A -3 V
- B 3 V
- C 6 V
- D 9 V
Answer & Solution
Correct Answer
(D) 9 V
Step-by-step Solution
Detailed explanation
Given circuit can also be drawn as,
By Kirchhoff's voltage law,
\(V_A-(2 \times 2)-(3)-(2 \times 1)-V_B=0\)
\(\begin{array}{ll}\therefore & \mathrm{V}_{\mathrm{A}}-4-3-2-\mathrm{V}_{\mathrm{B}}=0 \\ \therefore & \mathrm{~V}_{\mathrm{A}}-\mathrm{V}_{\mathrm{B}}=+9 \mathrm{~V}\end{array}\)
By Kirchhoff's voltage law,
\(V_A-(2 \times 2)-(3)-(2 \times 1)-V_B=0\)
\(\begin{array}{ll}\therefore & \mathrm{V}_{\mathrm{A}}-4-3-2-\mathrm{V}_{\mathrm{B}}=0 \\ \therefore & \mathrm{~V}_{\mathrm{A}}-\mathrm{V}_{\mathrm{B}}=+9 \mathrm{~V}\end{array}\)
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