Answer:
1. A time-varying electric field will produce a magnetic field.
2. A time-varying magnetic field will produce an electric field.
Step-by-step explanation:
According to Maxwell a time-varying electric field will produce a magnetic field. Time varying electric field produces current (displacement current), therefore it produces a magnetic field.
According to Faraday, a time-varying magnetic field will produce an electric field because an electromagnetic field is induced in a conductor moving in a magnetic field.
Electric and magnetic fields can only be treated independently if they do not vary in time that is they are static.
Time-varying electric and magnetic fields can propagate through space even if there is no matter in their path.