In the following circuit, the current $I_3$ is

In the following circuit, the current $I_3$ is
  1. 5 A
  2. 3 A
  3. -3 A
  4. $-\frac{5}{6} \mathrm{~A}$

Solution


Applying Kirchhoff's voltage law in loop 1 and 2 $\begin{array}{ll} \therefore & 28 \mathrm{I}_1=-6-8=-\frac{1}{2} \mathrm{~A} \\ \therefore & 54 \mathrm{I}_2=-6-12=-\frac{1}{3} \mathrm{~A} \\ \therefore & \mathrm{I}_3=\mathrm{I}_1+\mathrm{I}_2=-\frac{1}{2}+\left(-\frac{1}{3}\right)=-\frac{5}{6} \mathrm{~A} \end{array}$

Asked in: MHT CET 2024 (02 May Shift 2)

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