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[Solved] ρcu = 12µΩ/cm, ρNi = 51µΩ/cm. If both conductors have equal length, diameter 2 mm each and have equivalent resistance of 3^n, find I?

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ρcu = 12µΩ/cm, ρNi = 51µΩ/cm. If both conductors have equal length, diameter 2 mm each and have equivalent resistance of 3n, find I?

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\(\frac{1}{3}\) = \(\frac{1}{R_{Cu}} + \frac{1}{R_{Fe}}\); 

Rcu = \(\frac{12 \ell}{\pi} \times 10^2\)

RNi = \(\frac{51 \ell}{\pi} \times 10^2\)

\(\frac{1}{3}\) = \(\frac{\pi}{100 \ell}\)\(\Big[\frac{1}{12} +\frac{1}{51}\Big]\)

= \(\frac{\pi}{100 \ell}\)x \(\frac{63}{612}\)

\(\ell\) = \(\frac{\pi \times 63}{204 \times 100}\)

= \(\frac{21 \pi}{68}\)cm ≈ 0.97 cm

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