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What is the total current for the parallel circuit?​

What is the total current for the parallel circuit?​-example-1
User Arden
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1 Answer

22 votes
22 votes

Answer:


\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}

User Pietz
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3.4k points