To find the resistance of the circuit, we can use Ohm's Law. Ohm's Law states that the voltage (V) across a resistor is equal to the current (I) flowing through it times the resistance (R):
[tex]\[ V = I \times R \][/tex]
We need to solve for the resistance (R). We can rearrange the formula to solve for R by dividing both sides by the current (I):
[tex]\[ R = \frac{V}{I} \][/tex]
Given the problem:
- The voltage (V) is 5 Volts.
- The current (I) is 0.5 Amps (500 milli-Amps converted to Amps).
Plug these values into the formula:
[tex]\[ R = \frac{5 \text{ Volts}}{0.5 \text{ Amps}} \][/tex]
Perform the division:
[tex]\[ R = 10 \text{ Ohms} \][/tex]
Therefore, the resistance of the circuit is 10 Ohms. Hence, the correct choice is:
10 Ohms