With mutual induction, to induce voltage in the secondary coil, there must be

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Mutual induction occurs when a changing magnetic field in one coil induces a voltage in a nearby coil. Alternating current (AC) in the primary coil creates a constantly changing magnetic field, which is necessary for inducing voltage in the secondary coil. Direct current (DC) does not change direction or magnitude over time, thus it cannot create a changing magnetic field required for mutual induction. A physical connection between the coils is not necessary for mutual induction; it relies on the magnetic field interaction.

With Mutual Induction, to Induce Voltage in the Secondary Coil