A metal wire of diameter 2.0 mm and of
length 300 m has a resistance of 1.64 ohm at
20° C and 2.42 ohm at 150° C. Find the
temperature coefficient of resistance and
resistance at 0 °C.
Answers
Answered by
2
Answer:
R150∘C=2.415=R0(1+150α),R20∘C=1.6424=R0(1+20α)
Solving these relation simultaneously, α=3.9×10−3C−1 and
R0=1.5236Ω.FromR0=ρ0(L/A), We get
1.5236=ρ0(300)π(2×10−3)2/4orρ0=1.596×10−8Wm
Thenρ20∘C=ρ0(1+20α)=(1.596×10−8)[1+(3.9×10−3(20)]
=1.720×10−8Ωm
This indicates that the meterial is copper.
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Answered by
36
➡Given: R0 =2.1 ohms, Rt = 2.7 ohms, T = 72.5 ° C
➡Temperature coefficient, α = ?
➡Formula : Rt = R0 ( 1+ α T)
➡Put values given above to get α.
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