When a current carrying coil has a continuously varying current, and is placed close to another loop of wire, current will be induced in the wire.
True
The fact that a changing magnetic field induces a current to flow was given by Faraday. Faraday's Law says that when the strength of a magnetic field changes within a loop of wire, a current will flow whose magnitude depends on the rate of change of the magnetic field.
So, When there is a varying current in a coil, the magnetic field around the coil next to it varies continuously. Hence, there’s a current in the other coil. The given statement is true.