Two indentical electric lamps marked $500\, W, \,\,220\, V$ are connected in series and then joined to a $110\, V$ line. The power consumed by each lamp is
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Voltage across each bulb $V' = \frac{{110}}{2} = 55\,W$
so, power consumed by each bulb will be
$P' = {\left( {\frac{{55}}{{220}}} \right)^2} \times 500$
$ = \frac{{125}}{4}\,W$
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