Two concentric circular wire loops in the same plane each carrier current the larger loop has a occurrence of $8\mathrm{.}46$ a circulating clockwise and has a radius of $6\mathrm{.}2$ 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 magnitude field at the center of the ecosystem or other, the system is zero?