Final answer:
Using Ohm's law (V = IR), the resistance of a resistor connected to a 36V power supply with 2.0A current is calculated as 18 ohms (36V / 2.0A), which is option A.
Step-by-step explanation:
The resistance of the resistor connected to a 36V power supply, with a current of 2.0A flowing through it, can be calculated using 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). The formula for Ohm's law is V = IR. Substituting the values given, we have:
36V = 2.0A × R
R = 36V / 2.0A
R = 18 ohms
Therefore, the resistance of the resistor is 18 ohms, which corresponds to option A.