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Question

# A frill of 50 bulbs joined in series is connected to mains On getting one bulb fused, the remaining 49 bulbs are again put in series and connected to the same main supply. Will the light emitted by the frill increase or decrease?

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Solution

## Given: frill of 50 bulbs joined in series is connected to mains On getting one bulb fused, the remaining 49 bulbs are again put in series and connected to the same main supply.To find whether the the light emitted by the frill increase or decreaseSolution:Let power and voltage of each bulb are P and V respectively.Then, resistance of each bulb is R=V2P Case 1:- When all the bulbs are connected in series then, equivalent resistance of circuit is given by Req=R+R+R+..... Upto 50 terms Req=50R=50V2Pcurrent passing through each bulb is i1=EReq=E50V2P=PE50V2 -----(1)Here E is the potential difference of circuit.Case 2:- Now, a bulb is fused. And 49 bulbs are connected in circuit.So, equivalent resistance of 49 bulbs in series combination, Req=R+R+R+.... Upto 49 terms R′eq=49R=49V2P Current passing each bulb is i2=E49V2P=PE49V2 -----(2)From case 1 and case 2 i2>i1 e.g., current flow through each bulb is higher than initial. Means power out put = i2R will be higher Hence, light emitted by frill increases.

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