The resonant frequency of a circuit containing an inductor and a capacitor can be influenced by a magnetic field, depending on the inductor's characteristics. If the inductor's inductance is affected by the magnetic field, the resonant frequency will change. Conversely, if the inductor is a simple coil with constant inductance, the magnetic field will not impact the resonant frequency. Inductors with materials like ferrite cores, where permeability varies with the magnetic field, will experience changes in resonance. Thus, the effect of a magnetic field on resonance is contingent on the type of inductor used.