Practicing Success
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b |
$ 18 = R_0 (1+ 20 \alpha )$ $ 20 = R_0 (1+ 50 \alpha )$ Dividing these two $\Rightarrow \frac{18}{20} = \frac{1+ 20 \alpha}{1+ 50 \alpha}$ $ \alpha = \frac{1}{250}$ $\text{Let Resistance become }21\Omega \text{ when temperature is t}$ $\Rightarrow 21 = R_0 (1+\alpha t)$ = R0 (1+t/250) $\text{Divide this to equation 1 }$ $\Rightarrow \frac{21}{18} = \frac{1+t/250}{1+20/250}$ $\Rightarrow t = 65^oC$ $\text{Rise in Temperature } = 65^oC - 15^oC= 50^oC$
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