Chapter 4, Problem 4.15P

A triangular wire loop has its vertices at the points $\left(2,0,0\right),\left(0,3,0\right)$, and $\left(0,0,4\right)$, with dimensions in meters. A time-varying magnetic field is given by $\text{B}=4t{\text{a}}_y{\text{Wb/m}}^{\text{2}}$ (with t in seconds). If the wire has a total distributed resistance of $2\Omega$, calculate the induced current and indicate its direction in a carefully drawn sketch.