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Q.

What will happen when a 40 watt-220 volt lamp and a 100 watt-220 volt lamp are connected in series across 40 volt supply?

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a

100 watt lamp will fuse

b

40 watt lamp will fuse

c

Both lamps will fuse

d

Neither lamp will fuse

answer is D.

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Detailed Solution

Bulb (I): Rated current I1 =PV =  40220 =211 AResistance, R1=V2P  = 220240 = 1210 ΩBulb (II) : Rated current, I2  =  100220= 511  AResistance, R2= 2202100 = 484 ΩWhen both are connected in series across 40 V supplyTotal current through supplyR1= 40R1 + R2 =401210+484=401694=0.023 AThis current is less than the rated current of each bulb. So neither bulb will fuse.
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