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From the diagram above, calculate the total current in th...

From the diagram above, calculate the total current in the circuit

From the diagram above, calculate the total current in the circuit

A.

5.0A

B.

3.7A

C.

4.5A

D.

4.0A

View answer & explanation

Correct answer is B

V = IR from ohms law

I = $\frac{V}{R}$

Since the resistance are in parallel

$\frac{1}{Reff}$ = $\frac{1}{8}$ + $\frac{1}{12}$ + $\frac{1}{6}$

= $\frac{2 + 3 + 6}{36}$ = $\frac{11}{36}$

Reff = $\frac{36}{11}$ = 3.27

I = I₁ + I₂ + I₃

= $\frac{V}{Reff}$ = $\frac{12}{3.27}$

= 3.669A

I = 3.7A

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