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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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?

hottchevymanzm · Accepted Answer

Write the given values with suitable variables.  a  =  2  ×      10          −      3                  /              ∘        C        R    0    =  30     Ω        T    0    =  20                 ∘        C    R  =  33     ΩHere,   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

A resistor is made from a material that

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