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We know the Formula,
R = V²/P
Now, For First Lamp, V = 220 V, and P = 100 W.
∴ R₁ = 220²/100
∴ R₁ = 484 Ω
For Second Lamp, V = 220 V, P = 200 W,
∴ R₂ = 220²/200
∴ R₂ = 484/2
∴ R₂ = 242 Ω
(i) When they are connected in series,
R = R₁ + R₂ = 484 + 242
R = 726 Ω
Using Ohm's law,
V = IR
∴ 220 = I × 726
∴ I = 0.3030 A.
(ii) When they are connected in Parallel,
1/R = 1/R₁ + 1/R₂
∴ 1/R = 1/484 + 1/242
∴ R = 161.3 Ω
Again using the Ohm's law,
I = V/R = 220/161.3
I = 1.36 A.
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