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Q.An electric bulb is rated 220 volt, 100 watt. Power consumed by it when operated on 110 volt is

(a) 50 watt
(b) 75 watt
(c) 90 watt
(d) 25 watt.
Nagaland NbseNagaland Board of School Education 2018MCQ· 1mImportance★★★★★
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The bulb's resistance is fixed by its rated values; using P=V2/RP=V^2/R at the new voltage gives 25 W.

A bulb's filament resistance is determined by its rated (operating) values and is treated as constant (ignoring the small change with temperature over this range):

R=Vrated2Prated=(220)2100=48400100=484 ΩR = \dfrac{V_{rated}^2}{P_{rated}} = \dfrac{(220)^2}{100} = \dfrac{48400}{100} = 484\,\Omega

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