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  • Help me solve this In the circuit shown, the potential difference between A and B is :

In the circuit shown, the potential difference between A and B is :

  • Option 1)

    6 V

  • Option 2)

    2 V

  • Option 3)

    3 V

  • Option 4)

    1 V

Answers (1)

best_answer

 

In closed loop -

-i_{1}}R_{1} + i_{2}}R_{2} -E_{1}-i_{3}}R_{3}+E_{2}+E_{3}-i_{4}}R_{4}=0

- wherein

 

\Delta V_{CD}=\Delta V_{AB}

\Delta V_{CD}=\frac{\frac{E_{1}}{r_{1}}+\frac{E_{2}}{r_{2}}+\frac{E_{3}}{r_{3}}}{\frac{1}{r_{1}}+\frac{1}{r_{2}}+\frac{1}{r_{3}}}

E_{1}=1v,\: \: E_{2}=2v,\: \: E_{3}=3v

r_{1}=1\Omega ,\: \: r_{2}=1\Omega,\: \: r_{3}=1\Omega

\Delta V_{AB}=\frac{\frac{1}{1}+\frac{2}{1}+\frac{3}{1}}{\frac{1}{1}+\frac{1}{1}+\frac{1}{1}}=\frac{6}{3}=2v

\Delta V_{AB}=2v


Option 1)

6 V

Option 2)

2 V

Option 3)

3 V

Option 4)

1 V

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