A. The total resistance is 19 ohms
B. The current through the 8 ohm resistor is 1.58 A
For series connection, the total resistance can be obtained as follow:
Rₜ = R₁ + R₂ + R₃
Rₜ = 6 + 5 + 8
Rₜ = 19 ohms
Using ohm's law equation, we obtained the current as follow:
V = IR
Divide both side by R
I = V / R
I = 30 / 19
I = 1.58 A
From the question given above, we were told that the circuit is in series connection. This simply means that the same current will go through each resistor.
Thus, the current through the 8 ohm resistor will be 1.58 A
Learn more about Ohm's law:
https://brainly.com/question/796939