First slide

Temperature dependence

Question

Resistance of tungsten wire at 150⁰C is $133 Ω$ . Its resistance temperature coefficient is 0.0045⁰C. The resistance of this wire at 500⁰C will be

Moderate

A

$180 Ω$
B

$225 Ω$
C

$258 Ω$
D

$317 Ω$

Solution

$\begin{array}{l} \frac{R_{150}}{R_{500}} = \frac{[1 + α (150)]}{[1 + α (500)]} . P u t t i n g R_{150} = 133 Ω \\ α = 0.0045 /^{0} C, w e g e t R_{500} = 258 Ω \end{array}$

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