An increasing number of products, such as passports and credit cards, contain an embedded radio-frequency identification chip that both stores and transmits information. The chips do not have their own power sources. Instead, they receive their power through induction from the device used to read the stored information. The reading device generates a magnetic field, and the passport or credit card containing a coil is passed through this field. If a certain chip needs a peak induced emf of \(4.0 \mathrm{~V}\) to operate and the magnetic field varies with time as \(B(t)=B_{\text {peak }} \sin (\omega t)\), where \(B_{\text {peak }}=5.0 \mathrm{mT}\) is the maximum magnetic field and \(\omega=8.52 \times 10^{7} \mathrm{~s}^{-1}\), what value must the product \(A N\) have in order for the chip to operate, where \(A\) is the coil's surface area and \(N\) is number of turns in the coil? Assume that the magnetic field is perpendicular to the plane of the coil.