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Two lamps, one rated 100 W at 220 V, and the other 60 W at 220 V, are connected in parallel to the electric mains supply. What current is drawn from the line if the supply voltage is 220 V?
Let, Resistance for the first lamp = R1
Resistance for the second lamp = R2
P1 = 100W, P2 = 60W, V = 220V
From Formula :
R1 = V2/P1
R1 = (220 X 220) / 100
R1 = 484Ω
R2 = V2/P2
R2 = (220 X 220) / 60
R2 = 2420/3Ω
Connecting R1 and R2 in parallel series
R = (R1 X R2)/R1 + R2
R = (484 X (2420/3))/484 + (2420/3)
R = 2420/8
R = 605/2Ω
I = V/R
I = 220/(605/2)
I = 220 X 2/605
I = 0.72A
So, the current drawn from mains is 0.72 A.
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