(25%) Problem 6: A copper wire has a resistance of 0.495 at 20.0°C, and an iron wire has a resistance of 0.535 2 at the same temperature. DA At what temperature, in degrees Celsius, are their resistances equal? The temperature coefficient of resistivity of copper is 3.9 x 10 (°C), while that for iron is 5.0 x 10-3 (°C)-!

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(25%) Problem 6: A copper wire has a resistance of 0.495 2 at 20.0°C, and an iron wire has a resistance of 0.535 2 at the same temperature.
D A At what temperature, in degrees Celsius, are their resistances equal? The temperature coefficient of resistivity of copper is 3.9 x 10-3 (°C)-!, while that for
iron is 5.0 x 10-3 (°C)-!.
T =
sin()
cos()
tan()
9
HOME
cotan()
asin()
acos()
E
4
5
6.
atan()
acotan()
sinh()
1
3
cosh()
tanh()
cotanh()
END
O Degrees O Radians
Vol BACKSPACE
D CLEAR
Transcribed Image Text:(25%) Problem 6: A copper wire has a resistance of 0.495 2 at 20.0°C, and an iron wire has a resistance of 0.535 2 at the same temperature. D A At what temperature, in degrees Celsius, are their resistances equal? The temperature coefficient of resistivity of copper is 3.9 x 10-3 (°C)-!, while that for iron is 5.0 x 10-3 (°C)-!. T = sin() cos() tan() 9 HOME cotan() asin() acos() E 4 5 6. atan() acotan() sinh() 1 3 cosh() tanh() cotanh() END O Degrees O Radians Vol BACKSPACE D CLEAR
Expert Solution
Step 1

Let at temperature T 

Riron = Rcu 

.535[1+5×10^-3(T-20)] = .495 [1+3.9×10^-3(T-20)] 

.4816+2.675×10^-3T = .4564+1.93×10^-3T 

.744×10^-3 T = .0251 

T = -33.74°C

 

 

 

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