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Question

A 25 watt, 220 volt bulb and a 100 watt , 220 volt bulbs are connected in series across 440 volt line

A
only 100 watt bulbs will fuse
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B
only 25 watt bulbs will fuse
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C
none of these bulbs will fuse
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D
both bulbs will fuse
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Solution

The correct option is B only 25 watt bulbs will fuse
we know power rating, P=V20R where R = Resistance of bulb, given
R=V20P V0= Reference 220V in this thin case
own for both bulls :-
R1=V2025 and R2=V20100
In series, equivalent resistance :- R1=R1+R2=V20(125+1100)
=V2020
In, series, current is constant.
So, when connected to supply voltage 440v (=2v0), current
in the current would be:-
I=VR1=2v0V20/20=40V0
Power generated in Bulb 1, =I2R1=402V20×V2025=64w
and n Bulb 2, I2R2=420V20×V20100=16w
clearly, 64w>25w only Bulb 1 will blow up.

1101146_1173110_ans_4934c2ae2226470b93515a341f92922d.JPG

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