Suppose you are fabricating a device to measure the orientation of the Erath's magnetic field (i.e., \(50 \mu \mathrm{T}\) ). The device can accommodate a single conducting coil attached to a motor that can make it rotate at a speed of 12000 rotations/minute. If the maximum limit of peak induced emf that can ideally be measured by the device is \(2 \times 10^{-5} \mathrm{~V}\), then what must be the area A enclosed by the conducting coil that you have to manufacture?