Final answer:
In a 24V DC electrical system with four 1-ohm resistors wired in parallel, the total current that flowed through the system is calculated using the formula for equivalent resistance in a parallel circuit and Ohm's Law, resulting in a total current of 96 amperes.
Step-by-step explanation:
To find the total current that flowed through the system with four resistors (R1=1 ohm, R2=1 ohm, R3=1 ohm, and R4=1 ohm) wired in parallel in a 24V DC electrical system, we must first determine the equivalent resistance of the parallel circuit. In a parallel circuit, the equivalent resistance (Rp) can be calculated using the formula 1/Rp = 1/R1 + 1/R2 + 1/R3 + 1/R4. Substituting the given values, we get 1/Rp = 1/1 + 1/1 + 1/1 + 1/1, which simplifies to 1/Rp = 4. Therefore, the equivalent resistance is Rp = 1/4 = 0.25 ohms.
The total current (I) flowing through the circuit can then be determined using Ohm's Law, which states that I = V/Rp. With a source voltage (V) of 24 volts and an equivalent resistance (Rp) of 0.25 ohms, the total current is I = 24/0.25 = 96 amperes.
Therefore, the total current that flowed through the system is 96 amperes.