GATE 2016 EC (EC2) – Question 41

Networks, Signals and Systems · Circuit Analysis · 2 marks · Numerical answer

The magnitude of current through $R_2$ in the shown circuit, in amperes, is ________.

Show answer and explanation

Correct answer: 4.9 to 5.1

Explanation

Let the current through the series $R_2$–$R_3$ branch be i. Then $v_x=5i$ and the junction voltage at the dependent source is $(3+5)i=8i$.

KCL there gives $(60-8i)/5+0.04(5i)=i$. Multiply by 5: $60-8i+i=5i$, so $60=12i$.

Therefore the branch current, and hence the current through $R_2$, has magnitude **5 A**.

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