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One circuit is run off a 5 Volt power source. With a current of 500 milliAmps (0.5 Amps) running through it, what is the resistance of the circuit?

A. 30 Ohms
B. 25 Ohms
C. 5 Ohms
D. 10 Ohms

Sagot :

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