Final answer:
The direction of the magnetic field due to a current flowing through an Amperian loop can be determined using the right-hand rule.
Step-by-step explanation:
The question relates to Ampère's Law and the direction of the current in an Amperian loop. In this case, a current is directed out of the page through the loop. To determine the direction of the magnetic field due to this current, you can use the right-hand rule. When the fingers of your right hand curl in the direction of the current, your thumb will point in the direction of the magnetic field.
Since the current is directed out of the page, the magnetic field due to the current will be directed counterclockwise inside the loop. Therefore, the correct answer is B) False.