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Two electric bulbs , rated at (25W,220V...

Two electric bulbs , rated at (25W,220V) and (100W,220V), are connected in series across a 220 V voltage source , if the 25W and 100W bulbs draw powers `P_(1) and P_(2)` Respectively , then :

A

`P_2 =16 W, P_2=4W`

B

`P_1 =9 W,P_2 =16 W`

C

`P_1 =16 W, P_2 =9 W`

D

`P_1 =4 W, P_2 =16 W`.

Text Solution

Verified by Experts

The correct Answer is:
A
`R_(1)=(V^2)/(P)=((220)^2)/(25)=1936 Omega`.
`R_2 ((220)^2)/(100)=484 Omega`
`i=(220)/(1936+484)=(220)/(2420)=(1)/(11)` Amp.
`P_(1)=i^(2)R_(1)=(1)/(121)xx1936=16W`.
`P_(2)=i^(2)xxP_(2)=(1)/(121)xx484=4W`.
.
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