A constantly changing magnetic field perpendicular to the surface area of a coiled wire containing N turns experiences an induced emf of \( \varepsilon_{0} \). When the rate of change of the magnetic field is halved and the number of turns in the coil is reduced to a fourth of the original number of turns N , what will be the new induced emf, \( \varepsilon \), in terms of \( \varepsilon_{0} \) ?