Question

The resistivity of manganese wire of length 1 m is 1·84 × 10 − 6 Ω m at 20°C. If the diameter of the wire is 3 × 10 − 4 m, what will be the resistance of the wire at that temperature? ​

Answer 1

Answer:

26.02(approx)

Explanation:

R=Pl/A. (here P is rho)

R=(1.84*10^-6×1)/22/7×(9*10^-8)/4

R=(1.84*10^-6×1)/(22×9*10^-8)/28

R=[(184*28)×10^-6+8-2]/(22*9)

R=(92*28)/(11*9)

R=2576/89

R=26.02(approx)

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Answer 2

Answer:

26.04ohm

Explanation:

resistivity=1.84×10^-6 ohm m

diameter= 3×10^-4m

Resistance=resistivity×length /area

Resistance= 1 .84×10^-6×1/ πd^2/4

Resistance=1.84×10^-6×4/3.14×9×10^-8

Resistance= 7.36/×10^2/28.26

Resistance = 0.2604 ×10^2

Resistance= 26.04 ohm

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