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

Question

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 (A) 2 (B) 8 (C) 4 (D) 6

Tardigrade Admin · Accepted Answer

When each bulb is glowing at full power,

Current from each bulb

= i^{'} = \frac{50}{100} = \frac{1}{2} A

So main current,

i = \frac{n}{2}

ampere
Also

E = V + i r

\Rightarrow 120 = 100 + (\frac{n}{2}) \times 10

\Rightarrow n = 4

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

2

8

4

6

When each bulb is glowing at full power, Current from each bulb =i′=10050​=21​A So main current, i=2n​ ampere Also E=V+ir ⇒120=100+(2n​)×10 ⇒n=4

Q. 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

When each bulb is glowing at full power,

Current from each bulb $= i^{'} = \frac{50}{100} = \frac{1}{2} A$
So main current, $i = \frac{n}{2}$ ampere
Also $E = V + i r$
$\Rightarrow 120 = 100 + (\frac{n}{2}) \times 10$
$\Rightarrow n = 4$