Question

the following resistors (in ohms) were wired in parallel in an 24V DC electrical system: R1 = 0.5, R2 = 0.25, R3 = 1. what was the total current flowed through the system?

Answer 1

To find the total current flowed through the system, we need to calculate the total resistance of the resistors wired in parallel. Using Ohm's Law, we then calculate the total current using the given voltage and total resistance.

Step-by-step explanation:

To find the total current flowed through the system, we need to calculate the total resistance of the resistors wired in parallel. The formula for calculating the total resistance in a parallel circuit is:

1/Rt = 1/R1 + 1/R2 + 1/R3

Using the given resistance values:

Total Resistance (Rt) = 1/0.5 + 1/0.25 + 1/1

Calculating the value of Rt, we find: Rt = 0.857 ohms.

Now, to calculate the total current, we use Ohm's Law:

I = V/Rt

Plugging in the given voltage (V = 24V) and total resistance (Rt = 0.857 ohms), the total current is:

I = 24/0.857 = 27.98 Amps (approximately)