Q.The resistance of wire is 5 Ohm at 50° and 6Ohm at 100℃ . Calculate the resistance of the wire at 0℃??
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Answered by
5
we know,
R2=R11+αΔθ⇒Δθ=T2-T1
Here,
R1=5 ΩR2=6 ΩT1=50°CT2=100°C∴∆θ=T2-T1=100-50=50°C⇒α=1∆θR2R1-1=15065-1=1250=0.004 °C-1
The resistance at 0 degree C can be calculated as:
R2=R11+αΔθ
R1=?R2=6 ΩT1=0°CT2=100°Cα=0.004∴∆θ=T2-T1=100-0=100°C
⇒R1=R21+αΔθ=61+0.004100=61.4=4.28 Ω
Thus, the resistance of wire at 0 degree C will be 4.2 ohms.
Hope this will help you (◕‿◕)
Michael12:
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