Answer to Question #189762 in Electric Circuits for martin cordero

Question

What is the circuit (amps) for a parallel circuit containing a 12 V potential and three resistors R1= 3 ohms, R2=2 ohms, and R3= 1 ohm?

Answer 1

Net resistance-

$\dfrac{1}{R}=\dfrac{1}{R_1}+\dfrac{1}{R_2}+\dfrac{1}{R_3}$

$=\dfrac{1}{3}+\dfrac{1}{2}+\dfrac{1}{1} \\[9pt] =\dfrac{2+3+6}{6}\\[9pt] =\dfrac{11}{6}$

So $R=\dfrac{6}{11} \Omega$

Current in the circuit $=\dfrac{V}{R}=\dfrac{12}{\frac{6}{11}}=22 amps$