Final answer:
The current in a 12-volt series circuit with resistances of 4 ohms, 3 ohms, and 1 ohm is 1.5 amperes, calculated using Ohm's law by dividing the voltage by the total resistance.
Step-by-step explanation:
To find the current in a series circuit with a 12-volt power source and resistors of 4 ohms, 3 ohms, and 1 ohm, you need to use Ohm's law: V = IR, where V is the voltage, I is the current, and R is the resistance.
First, you calculate the total resistance (Rtotal) by adding up all the resistances:
Rtotal = 4 ohms + 3 ohms + 1 ohm = 8 ohms.
Then, you apply Ohm's law to find the current: I = V / Rtotal = 12V / 8 ohms = 1.5 A.
Hence, the current flowing through the circuit is 1.5 amperes (A).