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  • All resistances in the figure are  each. The value of current 'I' is <img alt="\mat

All resistances in the figure are \mathrm{1 \; \Omega} each. The value of current 'I' is \mathrm{\frac{\mathrm{a}}{5} \mathrm{~A} .} 

The value of a is _________.

Option: 1

8


Option: 2

4


Option: 3

2


Option: 4

1


Answers (1)

best_answer

Using Kirchoff's Law

\begin{aligned} &-3+i \times 1+\frac{i}{2} \times 1+\frac{i}{4} \times 1+\frac{i}{8} \times 1=0 \\ &3={i}+\frac{i}{2}+\frac{i}{4}+\frac{i}{8} \\ \end{aligned}                              \begin{aligned} =\frac{\left ( 8+4+2+1 \right ) i}{8}=\frac{15}{8}i\end{aligned}

    \begin{aligned} &i =\frac{24}{15}=\frac{8}{5} \end{aligned}

Hence 8 is correct answer

Posted by

Sayak

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