A) Given a 10-V power supply, would a 20-ohm resistor and a 5-ohm resistor need to be arranged in parallel or in series to generate a current of 2.5. A? How much current would move through each resistor? In 3-4 sentences, answer each question and explain your answers. (4 points)
The 20-ohm resistor and the 5-ohm resistor would need to be arranged in series to generate a current of 2.5 A. This is because in a series circuit, the current is the same throughout the circuit. So, in this case, the current of 2.5 A would flow through both resistors.
To calculate how much current would move through each resistor, we can use Ohm's Law (V=IR), where V is the voltage, I is the current, and R is the resistance.
First, we calculate the total resistance in the circuit, which is the sum of the resistances in series:
Total resistance (R_total) = 20 ohms + 5 ohms = 25 ohms
Then, we can calculate the total current flowing through the circuit using Ohm's Law:
Total current = Voltage / Total resistance = 10 V / 25 ohms = 0.4 A
Since the current is the same throughout the series circuit, both resistors will have 0.4 A flowing through them.