At room temperature (27^circ text{C}) the res | vedclass

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Question

(A) The relationship between resistance and temperature is given by the formula: $R_	heta = R_0 [1 + \alpha (	heta - 	heta_0)]$Given values are: $R

Vedclass · Accepted Answer

$2767$

Vedclass · Answer

(A) The relationship between resistance and temperature is given by the formula: $R_	heta = R_0 [1 + \alpha (	heta - 	heta_0)]$Given values are: $R_0 = 100 \ \Omega$,$	heta_0 = 27^\circ 	ext{C}$,$R_	heta = 137 \ \Omega$,and $\alpha = 1.35 	imes 10^{-4} \ ^\circ 	ext{C}^{-1}$.Substituting these values into the equation:$137 = 100 [1 + 1.35 	imes 10^{-4} (	heta - 27)]$$1.37 = 1 + 1.35 	imes 10^{-4} (	heta - 27)$$0.37 = 1.35 	imes 10^{-4} (	heta - 27)$$	heta - 27 = \frac{0.37}{1.35 	imes 10^{-4}}$$	heta - 27 \approx 2740.74$$	heta \approx 2740.74 + 27 = 2767.74^\circ 	ext{C}$Rounding to the nearest integer,we get $	heta \approx 2767^\circ 	ext{C}$.

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