Question

Three identical lamps are connected in parallel and powered by a 6-Volt battery. Each lamp has 3 ohms of resistance. How much total current is delivered by the battery?

Answer 1

$\\ R_1=R_2=R_3=3\ \Omega$

$\\ The\ equivalent\ resistance\ of\ parallel\ combination:\\ \\ \frac{1}{R}=\frac{1}{R_1}+\frac{1}{R_2}+\frac{1}{R_3}$

$\\ \frac{1}{R}=\frac{1}{3}+\frac{1}{3}+\frac{1}{3}=\frac{3}{3}=1$

$\\ R=1\ \Omega$

$\\ The\ toat\ current\ delivered\ by\ the \ battery\ (I)=\frac{V}{R}$

$\\ I=\frac{6\ volt}{1\ \Omega}=6\ Ampere\ \ Ans.$