The GATE Grind

GATE 2019 EE – Question 29

Electric Circuits · Network solution methods: KCL, KVL, Node and Mesh analysis · 1 mark · Numerical answer

The current $I$ flowing in the circuit shown below is ________ amperes (round off to one decimal place).

Diagram for GATE 2019 EE question 29

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: 1.39 to 1.41

Explanation

Let $V_A$ be the voltage at the node after the $2\ \Omega$ resistor: $V_A=20-2I$. The $2$ A source feeds current into this node, and the $3\ \Omega$ resistor carries $\frac{V_A-5I}{3}$ away. KCL gives $I+2=\frac{20-2I-5I}{3}$, so $3I+6=20-7I$ and $I=1.4$ A.