Final answer:
The field strength at a point along the axis of a current-carrying loop depends on the distance from the loop and specifics of the current and loop dimensions, which are not provided. Thus, we cannot determine the exact field strength without further information.
Step-by-step explanation:
The student's question pertains to the magnetic field strength at a specific point along the axis of a current-carrying loop. Given that the magnetic field of a loop decreases with distance from the center of the loop, it is crucial to apply the appropriate equations for a magnetic field created by a loop of current. To find the field strength on the loop axis at a given point, we refer to Biot-Savart Law or Ampere's Law, both of which provide formulas to determine the magnetic field strength at any point in space due to currents passing through conductors.
However the specific field strength at 10.0 cm from the loop center cannot be determined without the necessary formula or values such as current, number of turns, and radius of the loop. Without additional context we cannot definitively answer whether the field strength is zero, half the maximum, equal to the max, or double the maximum field strength. Typically the field strength would not be double the maximum this far from the loop center and would vary with distance according to a specific dependency which requires computation through given formulas.