Two concentric circular wire loops in the same plane each carry a current. The larger loop has a current of $8\mathrm{.}46$ A circulating clockwise and has a radius of $6\mathrm{.}20$ cm $.$ The smaller loop has a radius of $4\mathrm{.}42$ cm $.$ What is the magnitude and direction of the current in the smaller loop if the total magnetic field at the center of the system is zero?

Multiple Choice

$6\mathrm{.}03$ A CCW

$6\mathrm{.}03$ A CW

$12\mathrm{.}8$ A CCW