Question

what is the total current for the parallel circuit?​

Answer 1

Answer:

$\huge\boxed{\sf Current = 6\ Ampere}$

Explanation:

In a parallel circuit, Total resistance is:

$\displaystyle \frac{1}{R_T} =\frac{1}{R_1} +\frac{1}{R_2}$

Where $R_1$ = 6Ω and $R_2$ = 12Ω

Finding $R_T$:

$\displaystyle \frac{1}{R_T} =\frac{1}{6} +\frac{1}{12} \\\\\frac{1}{R_T} =\frac{1 \times 2+1}{12} \\\\\frac{1}{R_T} =\frac{3}{12} \\\\\frac{R_T}{1} = \frac{12}{3} \\\\\boxed{R_T=4 \ Ohm}$

Finding current:

We know that:

V = IR (Ohm's Law)

V = 24 V, R = 4 Ω (V given, R found)

24 = I(4)

Divide 4 to both sides

6 A = I

Current = 6 Ampere

$\rule[225]{225}{2}$