Final answer:
The units of magnetic dipole moment are ampere·meter^2 (A·m^2), which is determined by multiplying the current (in amperes) by the area of the loop (in meters squared).
Step-by-step explanation:
The units of magnetic dipole moment are ampere·meter^2 (A·m^2). The dipole moment in the magnetic context is analogous to the electric dipole moment, but involves magnetic phenomena. A magnetic moment is calculated by multiplying the current flowing in the loop by the area of the loop (IA), where I is the current measured in amperes (A) and A is the area in meters squared (m^2). For example, the magnetic moment (μ) could be calculated as follows: μ = IA = (2.0 × 10^-3 A)(π(0.02 m)^2) = 2.5 × 10^-6 A·m^2, demonstrating that the units for μ are indeed ampere·meter^2. Hence, the correct answer is option C) ampere·meter^2.