If R1 = 6, R2 = 2 and VAΓ = 16 Find Roλ, I, VAB, VAΓ

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