APFIVE Axial Magnetic Field of Concentric Loops
Two concentric circular loops of radii $$R$$ and $$2R$$ are situated in the same plane. The inner loop carries a current $$I$$ clockwise, while the outer loop carries a current $$2I$$ counterclockwise. At what distance $$z$$ along the central axis, measured from the plane of the loops, is the magnitude of the net magnetic field a maximum?
A
$$z = 2R$$
B
$$z = \frac{R}{\sqrt{2}}$$
C
$$z = R$$
D
$$z = \sqrt{3}R$$
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