Answer:
![3.0 \Omega](https://img.qammunity.org/2020/formulas/physics/middle-school/e8f6htvcjqx70rx8p4osv99qyqcwg0o6mq.png)
Step-by-step explanation:
Ohm's law states that the potential difference across a resistance is proportional to the current flowing through it, according to the equation:
![V=RI](https://img.qammunity.org/2020/formulas/physics/high-school/golcbt5uumvr3qkkhii841o5sjv40ifo7r.png)
where
V is the potential difference
R is the resistance
I is the current
In this circuit,
V = 12.0 V
I = 4.0 A
Solving for R, we find the resistance:
![R=(V)/(I)=(12.0)/(4.0)=3.0 \Omega](https://img.qammunity.org/2020/formulas/physics/middle-school/4ub6rgocywpebj0lj63jjqhl7ftol0f3id.png)