Development of Capacitance Measurement in Pulsed Magnetic Fields

Magnetic fields are essential for controlling the properties of matter, with ultra-high magnetic fields allowing the exploration of exotic quantum phenomena. Pulsed magnetic fields, used to reach these high fields, present challenges due to their fast time scales, limiting the types of possible measurements. This is particularly true for studying magnetic insulators, where available techniques are scarce. Capacitance measurements in pulsed fields are crucial for understanding how electrical properties couple to magnetic fields, with applications in thermometry, magnetostriction, and dielectric constant studies. Traditionally, these measurements rely on the bridge balance technique, but this method is prone to inaccuracies, especially in nonlinear regimes, and suJers from limited frequency ranges. Additionally, many commonly used bridge circuits are now obsolete. In this work, we present an alternative method for capacitance measurement based on the virtual ground concept. We successfully demonstrate this technique in a pulsed magnetic field using a multiferroic material, oJering a more reliable and accurate approach. This advancement opens up new possibilities for studying emergent phenomena in magnetic insulators.