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  4. Electric bulbs 50 W -100 V glowing at full power are to be used in parallel with battery 120 V , 10 Ω. Maximum number of bulbs that can be connected so that they glow in full power is

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Q. Electric bulbs $50\, W -100\, V$ glowing at full power are to be used in parallel with battery $120\, V , 10\, \Omega$. Maximum number of bulbs that can be connected so that they glow in full power is

Current Electricity

Solution:

When each bulb is glowing at full power,
image
Current from each bulb $=i^{\prime}=\frac{50}{100}=\frac{1}{2} A$
So main current, $i=\frac{n}{2}$ ampere
Also $E=V+i r $
$\Rightarrow 120=100+\left(\frac{n}{2}\right) \times 10$
$ \Rightarrow n=4$