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In the circuit given below, the source current is _________(a) 2 A(b) 3 A(c) 0.54 A(d) 1.5 AThe question was posed to me during an online exam.The question is from Advanced Problems on Network Theorems topic in division Useful Theorems in Circuit Analysis of Network Theory

Answer»

The correct answer is (c) 0.54 A

To explain: In the GIVEN figure, RX = RY = RZ = \(\frac{5×5}{5+5+5}\) = 1.67 Ω

Here, R = [(RX + 2) || (RY + 3)] + RX

= (3.67 || 4.67) + RZ

= \(\frac{3.67 × 4.67}{3.67 + 4.67}\) + 1.67

= \(\frac{17.1389}{8.34}\) + 1.67

= 3.725 Ω

∴ I = \(\frac{V}{R} = \frac{2}{3.725}\) = 0.54 A.



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