Induced Voltage Exercise

The magnetic flux density at all points in space is:

$\vec{B}(t) = 5 \cos(3 t) \, \hat{\imath} + 5 \sin(3 t) \, \hat{k}$

There is a circular loop of wire with radius $2$ in the $xy$ plane. If $v(t)$ is the voltage induced in the loop, what is the maximum value of $v(t)$ over time?

Details and Assumptions:
1) Assume that $v(t)$ is a pure sinusoid
2) $\hat{\imath}$ and $\hat{k}$ are unit vectors along the $x$ and $z$ axes, respectively