Two concentric circular wire loops in the same plane each carry a current. The larger loop has a current of 8.46 Amps circulating clockwise and has a radius of 6.20 cm. The smaller loop has a radius of 4.42 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? Note: Show all the necessary steps and explain your reasoning.
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