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  4. Calculate ratio of (i1 + i2) and i3 in following diagram. If the ratio is (x/6) , what is the value of x? <img class=img-fluid question-image alt=Question src=https://cdn.tardigrade.in/q/nta/p-mlsuoxhiogwb541y.jpg />

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Q. Calculate ratio of $\left(i_{1} + i_{2}\right)$ and $i_{3}$ in following diagram. If the ratio is $\frac{x}{6}$ , what is the value of $x?$
Question

NTA AbhyasNTA Abhyas 2022

Solution:

Solution
$i_{1}=\frac{24 - 0}{6}=4A$
$i_{2}=\frac{24 - 0}{8}=3A$
$i_{3}=i_{4}+i_{5}=\frac{24}{6}+\frac{24}{12}=4+2=6$
$=\frac{i_{1} + i_{2}}{i_{3}}=\frac{7}{6}$