Question

What is the total current for the parallel circuit?​

Answer 1

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

Step-by-step explanation:

In a parallel circuit, Total resistance is:

`\displaystyle (1)/(R_T) =(1)/(R_1) +(1)/(R_2)`

Where
`R_1` = 6Ω and
`R_2` = 12Ω

Finding
`R_T\\`:

`\displaystyle (1)/(R_T) =(1)/(6) +(1)/(12) \\\\(1)/(R_T) =(1 * 2+1)/(12) \\\\(1)/(R_T) =(3)/(12) \\\\(R_T)/(1) = (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}`