If a circuit has a voltage of 12V and a current of 3A, what is its resistance?

To determine the resistance in a circuit when given the voltage and current, Ohm's Law is applied. Ohm's Law states that the resistance (R) in a circuit can be calculated using the formula:

[ R = \frac{V}{I} ]

where ( V ) is the voltage in volts and ( I ) is the current in amperes.

In this situation, the voltage is 12 volts and the current is 3 amperes. By substituting these values into the formula:

[ R = \frac{12V}{3A} = 4 , \text{ohms} ]

This calculation confirms that the resistance is indeed 4 ohms. Thus, this option accurately reflects the relationship outlined by Ohm's Law, demonstrating a solid understanding of how voltage, current, and resistance interrelate in electrical circuits.