1. At 0°C a steel cable is 1km long and 1cm diameter when it is heated it expands and its resistivity increases. Calculate the change in resistance of the cable as it is heated from 0-20°C The temperature coefficient of resistance a, gives the fractional increase in resistance per °C. So increase in resistance AR = Ra.AT Where R, is the resistance at 0°C For steel a, 0.003 °C The coefficient of linear expansion a- gives the fractional increase in length per °C temperature rise. So increase in Length AL La-AT Where L, is the length at 0°C For steel a₁ = 12 x 10 °C-1 The resistivity of steel at 0°C = 1.2 x 10 Qm

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Chapter27: Current And Resistance
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1. At 0°C a steel cable is 1km long and 1cm diameter when it is heated it expands and its resistivity
increases. Calculate the change in resistance of the cable as it is heated from 0-20°C
The temperature coefficient of resistance a, gives the fractional increase in resistance per °C.
So increase in resistance AR = Ra.AT
Where R, is the resistance at 0°C
For steel a, 0.003 °C
The coefficient of linear expansion a- gives the fractional increase in length per °C temperature
rise.
So increase in Length AL La-AT
Where L, is the length at 0°C
For steel a₁ = 12 x 10 °C-1
The resistivity of steel at 0°C = 1.2 x 10 Qm
Transcribed Image Text:1. At 0°C a steel cable is 1km long and 1cm diameter when it is heated it expands and its resistivity increases. Calculate the change in resistance of the cable as it is heated from 0-20°C The temperature coefficient of resistance a, gives the fractional increase in resistance per °C. So increase in resistance AR = Ra.AT Where R, is the resistance at 0°C For steel a, 0.003 °C The coefficient of linear expansion a- gives the fractional increase in length per °C temperature rise. So increase in Length AL La-AT Where L, is the length at 0°C For steel a₁ = 12 x 10 °C-1 The resistivity of steel at 0°C = 1.2 x 10 Qm
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