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technical question, plz answer with explanation

Ques. An electric bulb is rated 220V and 100W.Wen it is operated on 110V,the power consumed will be? i)100W ii)75W iii)50W iv)25W

Your Answer

Answer is option 4

Explaination:

Power 

P=I*V 

where I is the current, V is the voltage 

But ohms law says: 

I=V/R 

where R is the resistance 

so: 

P=V^2/R 

so we know that when operated at 220 volts, the power is 100w, so we can work out the resistance: 

R=220^2/100 

R= 484 ohms. 

Now when operated at 110 volts: 

P=V^2/R 
=110^2/484 
=25 Watts 

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