Question

Two lamps one rated 100w at 220v and the other 60w at 220vare connected in parallel to a 220v supply . What is the current drawn from the supply line

Answer 1

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Answer 2

Given power of lamp 1 P₁ = 100 W and

power of lamp 1 P₂ = 60 W

Supplied voltage V= 220 V

To determine current I =?

We know V =I R ------(1)

I = V/R -----(A)

Also power P = V I ----(B)

Reducing A in B we get,

P = V²/R

For 100 W lamp

R₁ = 220²/100 = 484 Ω

For 60 W lamp,

R₂ = 220²/60 = 805.2 Ω

As mentioned in the question the lamps are connected in parallel setup,

hence the equivalent resistance will be,

(1/Rₐ) = (1/R₁) + (1/R₂)

Rₐ = (R₁ R₂)/(R₁ + R₂) =(484×805.2)/(484+805.2) = 302.29 Ω

Now from equation 1 we can determine the value of current I

I = V/Rₐ =220/302.29

I = 0.72 Ampere