When a straight wire is heated, its resistance changes according to the equation R= R[1 + a(T – To)] (Eq. 17.7), where a is the temperature coefficient of resistivity. (a) Show that a more precise result, which includes the length and area of a wire change when it is heated, is R,[1 + a(T - T)I1 + a'(T - T,)] [1 + 2a'(T – T,)] R = where a' is the coefficient of linear expansion. (See Topic 10.) (b) Compare the two results for a 2.00-m-long copper wire of radius 0.100 mm, starting at 20.0°C and heated to 100.0°C.
When a straight wire is heated, its resistance changes according to the equation R= R[1 + a(T – To)] (Eq. 17.7), where a is the temperature coefficient of resistivity. (a) Show that a more precise result, which includes the length and area of a wire change when it is heated, is R,[1 + a(T - T)I1 + a'(T - T,)] [1 + 2a'(T – T,)] R = where a' is the coefficient of linear expansion. (See Topic 10.) (b) Compare the two results for a 2.00-m-long copper wire of radius 0.100 mm, starting at 20.0°C and heated to 100.0°C.
Chapter9: Current And Resistance
Section: Chapter Questions
Problem 46P: An electronic device designed to operate at any temperature in the range from 10.0C to 55.0C...
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![When a straight wire is heated, its resistance changes
according to the equation
R= R[1 + a(T – To)]
(Eq. 17.7), where a is the temperature coefficient of resistivity.
(a) Show that a more precise result, which includes the length
and area of a wire change when it is heated, is
R,[1 + a(T - T)I1 + a'(T - T,)]
[1 + 2a'(T – T,)]
R =
where a' is the coefficient of linear expansion. (See Topic 10.)
(b) Compare the two results for a 2.00-m-long copper wire of
radius 0.100 mm, starting at 20.0°C and heated to 100.0°C.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8710dbee-149c-4b1a-ad34-ec526b6df74a%2Fdc86f48c-7cb4-4ea0-ae56-d847ec0a85d7%2Fm5pcjes.jpeg&w=3840&q=75)
Transcribed Image Text:When a straight wire is heated, its resistance changes
according to the equation
R= R[1 + a(T – To)]
(Eq. 17.7), where a is the temperature coefficient of resistivity.
(a) Show that a more precise result, which includes the length
and area of a wire change when it is heated, is
R,[1 + a(T - T)I1 + a'(T - T,)]
[1 + 2a'(T – T,)]
R =
where a' is the coefficient of linear expansion. (See Topic 10.)
(b) Compare the two results for a 2.00-m-long copper wire of
radius 0.100 mm, starting at 20.0°C and heated to 100.0°C.
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