The resistance of a strip of copper of rectangular cross section is 2 Ω. A metal of resistivity twice that of a copper is coated on its upper surface to a thickness equal to that of copper strip. The resistance of composite strip will be _________(a) \(\frac{3}{4}\) Ω(b) \(\frac{4}{3}\) Ω(c) \(\frac{3}{2}\) Ω(d) 6 ΩThe question was asked in an internship interview.Enquiry is from Advanced Problems on Millman’s Theorem and Maximum Power Transfer Theorem in division Useful Theorems in Circuit Analysis of Network Theory

The resistance of a strip of copper of rectangular cross section is 2

1.	The resistance of a strip of copper of rectangular cross section is 2 Ω. A metal of resistivity twice that of a copper is coated on its upper surface to a thickness equal to that of copper strip. The resistance of composite strip will be _________(a) \(\frac{3}{4}\) Ω(b) \(\frac{4}{3}\) Ω(c) \(\frac{3}{2}\) Ω(d) 6 ΩThe question was asked in an internship interview.Enquiry is from Advanced Problems on Millman’s Theorem and Maximum Power Transfer Theorem in division Useful Theorems in Circuit Analysis of Network Theory
Answer» Right choice is (b) \(\frac{4}{3}\) Ω To elaborate: Given that copper and COATED metal strip have resistance of 2 ohms RESPECTIVELY. These two strips are connected in parallel. Hence, the resistance of the COMPOSITE strip = \(\frac{2 X 4}{2 + 4}\) = \(\frac{8}{6} = \frac{4}{3}\) Ω.

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