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GATE 2022 EC – Question 14

Networks, Signals and Systems · Circuit Analysis · 1 mark · Multiple choice

Consider the circuit shown in the figure. The current $I$ flowing through the $10\ \Omega$ resistor is ________.

Diagram for GATE 2022 EC question 14
  1. 1 A
  2. 0 A
  3. 0.1 A
  4. $-0.1$ A

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Correct answer: (C) 0.1 A

Explanation

Thevenin equivalent of the left part: $V=3\times\frac{2}{1+2}=2$ V with $R=1\parallel2=\frac23\ \Omega$. Right part: $V=3\times\frac{1}{2+1}=1$ V with $R=2\parallel1=\frac23\ \Omega$. Current through the 10 Ω resistor is $\frac{2-1}{\frac23+10+\frac23}\approx0.088$ A, closest to 0.1 A.