Question
Since the equation for torque on a current-carrying loop is $\tau = NIAB \sin(\theta)$, the units of $\textrm{N} \cdot \textrm{m}$ must equal units of $\textrm{A} \cdot \textrm{m}^2 \cdot \textrm{T}$. Verify this.

see solution video for dimensional analysis.

Solution Video