Two electric bulbs marked 25w 220v

Asked by admin @ 24/08/2021 in Physics viewed by 344 People

Two electric bulbs marked 25W – 220V and 100W – 220V are connected in series to a 440Vsupply. Which of the bulbs will fuse?

A) 25 WB) BothC) 100 WD) Neither

Answered by admin @ 24/08/2021

Hey there! ☺☻☺

Let R₁ and R₂ be the resistance of both the bulbs.
Rating of First bulb = 25 W - 220 V = R₁
Rating of Second bulb = 100 W - 220 V = R₂

We know,
P = V²/R
∴ R = V²/P

Now,
R₁ = (220)² / 25
= 48400/25
= 1936 ohm
R₂ = (220)₂ / 100
= 48400/100
= 484 ohm

Hence, R₁ > R₂.
And, V $\propto$ R
So, voltage will be more in R₁.

Hence, 25 W bulb will fuse.

Hope It Helps You! ☺☻☺

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Two electric bulbs marked 25w 220v

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