A resistor is made from a material that

PoentWeptgj 2022-07-20 Answered
A resistor is made from a material that has a temperature coefficient of resistivity of 2.0 × 10 3 / C. Its resistance is 30   Ω at 20 C. At what temperature is its resistance equal to 33   Ω?
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Answers (1)

hottchevymanzm
Answered 2022-07-21 Author has 15 answers
Write the given values with suitable variables.
a = 2 × 10 3 / C R 0 = 30   Ω T 0 = 20   C R = 33   Ω
Here, α , R 0 , T 0 , and R are the coefficient of resistivity, initial resistance, initial temperature, and final resistance.
The final resistance of the material can be expressed as
R = R 0 ( 1 + α ( T T 0 ) ) ( 33 Ω ) = ( 30 Ω ) ( 1 + ( 2 × 10 3 / C ) ( T 20 C ) ) T = 70 C
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