Question

What are the units of magnetic moments and magnetic induction?

Answer 1

Magnetic moment $\mu =IA$ where $A$ is the area of the coil and $I$ is the current flowing in it

Thus units of magnetic moment is $A{m}^2$.

Magnetic induction is measured in Gauss $\left(G\right)$ or Tesla $\left(T\right)$ or $Wb/m^2$.