Final answer:
The total resistance of a series circuit with resistors of 3 ohms, 5 ohms, and 4 ohms is 12 ohms. This is found by summing the resistance values of each resistor in the series.
Step-by-step explanation:
The question pertains to calculations involved with resistors in a series circuit. In a series circuit, the total resistance is the sum of all resistances of the individual resistors.
Therefore, with resistances of 3 ohms, 5 ohms, and 4 ohms, the total resistance (Rtotal) would be calculated as follows:
Rtotal = R1 + R2 + R3
Rtotal = 3 Ω + 5 Ω + 4 Ω = 12 Ω
This calculation is useful for understanding how electric circuits work and for determining the equivalent resistance present in the circuit, which is essential for analyzing the circuit's behavior and calculating the current if the voltage is known.