Two bulbs marked 200 watt-250 volts and 100 watt-250 volts are joined in series to 250 volts supply. Power consumed in circuit is?

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Solution

$T h e r e s i s \tan c e o f t h e b u l b s c a n b e c a l c u l a t e d f r o m t h e f o r m u l a e : R = V^{2} / P w h e r e P i s t h e p o w e r V i s t h e v o l t a g e R i s t h e r e s i s \tan c e . . . . . . R_{1} = 250^{2} / 200 = 312.5 o h m s R_{2} = 250^{2} / 100 = 625 o h m s I n s e r i e s t h e i r r e s i s \tan c e c o m e s o u t t o b e : R_{n e t} = 312.5 + 625 = 937.5 o h m s P o w e r c o n s u m e d = 250^{2} / 937.5 = 66.666 w a t t s$

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