A small power station supplies electricity to 5000 lamps connected in parallel. Each lamp has a resistance of 220 Ω and is operated at 220 V . The total current supplied by the station is

Question

A small power station supplies electricity to 5000 lamps connected in parallel. Each lamp has a resistance of 220 Ω and is operated at 220 V . The total current supplied by the station is (A) 2500 A (B) 3500 A (C) 5000 A (D) 10000 A

Tardigrade Admin · Accepted Answer

As resistances are in parallel (1/R eq )=(1/220)+(1/220)+ ldots 5000 times (1/R eq )=(5000/220) ⇒ R eq =(220/5000) Now, V=220 volt ∴ I=(220/(220)5000)=5000 A

Q. A small power station supplies electricity to $5000$ lamps connected in parallel. Each lamp has a resistance of $220 Ω$ and is operated at $220 V$ . The total current supplied by the station is

2500 A

3500 A

5000 A

10000 A

As resistances are in parallel
$\frac{1}{R _{e q}} = \frac{1}{220} + \frac{1}{220} + \dots 5000$ times
$\frac{1}{R _{e q}} = \frac{5000}{220}$
$\Rightarrow R_{e q} = \frac{220}{5000}$
Now, $V = 220$ volt
$∴ I = \frac{220}{\frac{220}{5000}} = 5000 A$

Q. A small power station supplies electricity to 5000 lamps connected in parallel. Each lamp has a resistance of 220Ω and is operated at 220V . The total current supplied by the station is