Q.

Three electric bulbs of 200 W, 200 W and 400 W are shown in figure. The resultant power of the combination if rated voltage is applied across the combination is (50x) Watt. Find value of  x.

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answer is 4.

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Detailed Solution

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Let resistance of 400 W is R. Then resistance of 200 W will be 2R.
From P=V2R, R=V2400

Total resistance of the shown circuit will be 2R                     Pnet=V2Rnet=V22R=V2(V2/200)=200W
 

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