Question

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

Answer 1

Rt = 8 ohm

I = 2 A

Vab = 12 V

VbΓ = 4 V

VaΓ = 16 V

Step-by-step 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:

`\displaystyle I=(V)/(Rt)`

`\displaystyle I=(16)/(8)`

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