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  • In the network of three cells, the potential of the function is:O

In the network of three cells, the potential \mathrm{V} of the function is:

Option: 1

\mathrm{\frac{44}{7} V}


Option: 2

\mathrm{-\frac{44}{7} V}


Option: 3

\frac{22}{7} \mathrm{V}


Option: 4

-\frac{22}{7} \mathrm{V}


Answers (1)

best_answer


Applying kirchoff law in all the branches

\mathrm{20-2 i_{1}+10=V-(1) }
\mathrm{ 0-\left(\frac{1}{2}\right) i_{2}-8=V-(2) \\ }
\mathrm{ -15-1 \cdot\left(i_{3}\right)-6=V\quad -(3) }
\mathrm{i_{1}+i_{2}+i_{3}=0 \quad -(4)}

putting value of \mathrm{i_{1}, i_{2} } and \mathrm{i_{3} } from equation (1), (2) and (3) in (4)

\mathrm{\Rightarrow \frac{30-V}{2}+\frac{V+8}{(-1 / 2)}+\frac{V+2 V}{-1}=0 }
\mathrm{\Rightarrow V=-44 / 7 \, V}
 

Posted by

Deependra Verma

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