Answer:
[tex]48 \Omega[/tex]
Explanation:
The resistance of the resistor can be calculated by using Ohm's law:
[tex]V=RI[/tex]
where
V is potential difference across the resistor
I is the current through the resistor
R is the resistance
In this problem, we have
[tex]V=12 V[/tex]
[tex]I=0.25 A[/tex]
So we can re-arrange Ohm's law to calculate the value of the resistance of the resistor:
[tex]R=\frac{V}{I}=\frac{12 V}{0.25 A}=48 \Omega[/tex]