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In the circuit given below, the current in the 20 Ω resistor is _________(a) 5 A(b) 1 A(c) 1.5 A(d) 2 AThe question was asked in homework.Origin of the question is Advanced Problems on Reciprocity Theorem topic in portion Useful Theorems in Circuit Analysis of Network Theory

Answer»

The correct choice is (d) 2 A

To explain I would SAY: Equivalent RESISTANCE, REQ = [[20 || 60] + 30]

= \(\Big[\frac{20 × 60}{20+60} + 30\Big]\)

= [15 + 30] = 45

Total current = \(\frac{120}{45}\) = 2.67 A

Current through the 20Ω RESISTOR is, I20Ω = \(\frac{2.67 × 60}{60+20}\) = 2 A.



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