Respuesta :

Answer:

Rt = 8 ohm

I = 2 A

Vab = 12 V

VbΓ = 4 V

VaΓ = 16 V

Explanation:

Electric Circuits

We'll apply Ohm's formula to solve the circuit shown on the image:

V = R.I

Where V is the voltage, R is the resistance, and I is the current.

The circuit has two resistances connected in series, thus the total resistance is:

Rt = R1 + R2 = 6 ohm + 2 ohm = 8 ohm

Now the current is:

[tex]\displaystyle I=\frac{V}{Rt}[/tex]

[tex]\displaystyle I=\frac{16}{8}[/tex]

I = 2 A

The voltages are calculated below:

Vab = R1 * I = 6 ohm * 2 A = 12 V

VbΓ = R2 * I = 2 ohm * 2 A = 4 V

VaΓ = Vab + VbΓ = 12 V + 4 V = 16 V

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