One of the leading problems in gravitational wave detection is the construction of an optimized transducer capable of reaching the predicted sensitivity limit set by the amplifier noise. Existing transducers, when used with ultra‐low noise amplifiers, are far from this limit. In this paper, electrical tuning is proposed to improve the match between the mechanical oscillator and the amplifier in the case of an inductively coupled electromechanical transducer. A detailed calculation of the sensitivity of this device is carried out. This calculation shows substantial improvement over the untuned system. The requirement on the tuning is shown to be noncritical. The most severe requirement is the one imposed by the electrical losses in the resonating capacitor.