Final answer:
The problem asks to find the resistance required for a 4 A current to flow through an 80 Ω resistor. However, without the voltage value, it is not possible to determine the resistance using Ohm's Law.
Step-by-step explanation:
The student is asking for the value of resistance (r) that would result in a current of 4 A flowing through an 80 Ω resistor. This is a Physics problem that involves understanding Ohm's Law, which states that the current (I) flowing through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) of the conductor. The formula is I = V/R. To find the value of resistance that allows for 4 A of current to flow through an 80 Ω resistor, we'd use Ohm's Law, but since the voltage is not given in this problem, it's not possible to calculate the exact value of r without additional information.
To find the value of r that will cause 4 A of current to flow through the 80 Ω resistor in the circuit, we can use Ohm's Law. Ohm's Law states that the current flowing through a resistor is equal to the voltage across the resistor divided by the resistance. In this case, the current is 4 A and the resistance is 80 Ω, so we can calculate the voltage using the formula:
V = I * R
V = 4 A * 80 Ω = 320 V
Therefore, for 4 A of current to flow through the 80 Ω resistor, a voltage of 320 V is required.