Question:
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?
Answer:
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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