The classic description of induction involves inducing a current in another conductor caused by the changing magnetic field caused by alternating current passing through a coil of wire around a metal core. Nonetheless, wouldn't simply alternating the voltage in a coil cause induction in another conductor? My reasoning is based on a changing electric field causing a changing magnetic field. Isn't that the way an electromagnetic wave is produced? There is no actual current in an electromagnetic wave. If I am wrong, what am I missing?