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In the circuit given below, the current through the 12 Ω resistance is _________(a) 1.5 A(b) 2.5 A(c) 3.5 A(d) 4.5 AThis question was addressed to me at a job interview.This interesting question is from Advanced Problems on Reciprocity Theorem in division Useful Theorems in Circuit Analysis of Network Theory

Answer»

Right CHOICE is (a) 1.5 A

Explanation: Equivalent RESISTANCE, REQ = [(12 || 6) + 2 + 4] = 10 Ω

IS = \(\FRAC{45}{10}\) = 4.5 A

Now, by using Current division rule, we get, I = \(\frac{4.5 × 6}{12+6} = \frac{27}{18}\) = 1.5 A.



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