Final answer:
The voltage that should be applied is 5.00 V.
Step-by-step explanation:
To calculate the voltage needed, we can use Ohm's Law which states that V = IR, where V is the voltage, I is the current, and R is the resistance.
Given that the resistance is 500 Ω and the current is 10.0 mA (or 0.010 A), we can substitute these values into the equation: V = (0.010 A)(500 Ω) = 5.00 V.