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Question

Two lamps one rated 60 W, 220 V and the other 40 W, 220 V are connected in parallel to a 220 V electric supply mains. What is the total current drawn from the electric mains if the voltage of the electric supply is 220 V?

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Solution

Relationship between power (P), voltage(V), and Resistance (R)
P=V2R
R=V2P
Resistance of lamp of 60W,220V is R1,
R1=220260=806.67 Ω
Resistance of 40W,220V lamp be R2,
R2=220240=1210 Ω

These resistances are connected in parallel.

Equivalent resistance,
R=R1R2R1+R2

R=(806.67×1210)(806.67+1210)=484Ω

Current drawn from 220V,
I=220484=0.45A

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