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what is the total current for the parallel circuit?​

What Is The Total Current For The Parallel Circuit class=

Sagot :

ujalakhan18

Answer:

[tex]\huge\boxed{\sf Current = 6\ Ampere}[/tex]

Explanation:

In a parallel circuit, Total resistance is:

[tex]\displaystyle \frac{1}{R_T} =\frac{1}{R_1} +\frac{1}{R_2}[/tex]

Where [tex]R_1[/tex] = 6Ω and [tex]R_2[/tex] = 12Ω

Finding [tex]R_T\\[/tex]:

[tex]\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}[/tex]

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

[tex]\rule[225]{225}{2}[/tex]

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