Two lamps one rated 100w at 220v and other 200w at 220v are connected
1) in series
2) in parallel to electric main supply of 220v
find the current drawn in each case
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Answer:
I_series = 0.30 A
I_parallel = 1.36 A
Explanation:
Given :
Two lamps power as 100 W and 200 W at 220 V.
We have resistance formula :
R₁ = 220 × 220 / 100 = 484 Ω
R₂ = 220 × 220 / 200 = 242 Ω
In series combination :
R_net = 484 + 242 Ω
= > 726 Ω
We have ohm's law :
V = I R
I = 220 / 726 A
I = 0.30 A
( ii ) In parallel combination :
1 / R_net = 1 / 484 + 1 / 242 Ω
R_net = 484 / 3 Ω
Given : V = 220 V
I' = 220 / 484 × 3 A
I' = 1.36 A
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