Fontana bridge

A Fontana bridge is a type of bridge circuit that implements a wide frequency band voltage-to-current converter. The converter is characterized by a combination of positive and negative feedback loops, implicit in this bridge configuration. This feature allows compensation for parasitic impedance ${\displaystyle Z_{P}}$ connected in parallel with the useful load ${\displaystyle Z_{S}}$, which in turn keeps an excitation current ${\displaystyle I_{S}}$ flowing through the useful load ${\displaystyle Z_{S}}$ independent of the instantaneous value of ${\displaystyle Z_{S}}$. This feature is of great advantage for making electromechanical transducers.

Fontana bridge

If balance condition:

${\displaystyle Z_{1}Z_{3}=Z_{P}Z_{2}}$

is met, then:

${\displaystyle I_{S}=V_{IN}{\frac {Z_{P}+Z_{1}}{Z_{P}Z_{1}}}}$

The circuit includes two differential amplifiers. The top differential amplifier, whose output is referenced to ground potential, has unitary gain. The bottom differential amplifier, whose output is referenced to ground potential, has ideally infinite gain. Ordinary operational amplifiers can be adopted with limitations in accuracy and bandwidth. The Fontana bridge is also called Compensated Current Injection Circuit. It was originally discovered by Giorgio Fontana, University of Trento, Italy, in 2003 using a symbolic equation solver for Kirchhoff's circuit laws. The bridge details are available in.[1][2][3]