## 7 Conclusions
**Funding:** This work was funded by the German Research Foundation (Deutsche Forschungsgemeinschaft, DFG) through the Collaborative Research Centre CRC 1261 _Magnetoelectric Sensors: From Composite Materials to Biomagnetic Diagnostics_. **Institutional Review Board Statement:** Not applicable. **Informed Consent Statement:** Not applicable. **Data Availability Statement:** Not applicable. **Conflicts of Interest:** The authors declare no conflict of interest. \begin{table}
\begin{tabular}{c c} \hline \hline
**Property** & **Value for AM** & **Value for PM** \\ \hline Static capacitance & \(C_{0}=44\,\mathrm{pF}\) \\ \hline Loss factor & \(\tan\delta_{0}=5\cdot 10^{-3}\) \\ \hline Loss resistance & \(R_{0}(f_{\mathrm{res}})=97.5\,\mathrm{M}\Omega\) \\ \hline Resonance frequency & \(f_{\mathrm{res}}=7421.1\,\mathrm{Hz}\) \\ \hline Quality factor & \(Q=887.1\) \\ \hline Motional resistance & \(R_{\mathrm{m}}=476.67\,\mathrm{k}\Omega\) \\ \hline Motional capacitance & \(C_{\mathrm{m}}=50.71\,\mathrm{fF}\) \\ \hline Motional inductance & \(L_{\mathrm{m}}=9.07\,\mathrm{k}\mathrm{H}\) \\ \hline Magnetic operating point & \(B_{\mathrm{bias}}=0.65\,\mathrm{mT}\) \\ \hline Magnetic sensitivity & \(S_{\mathrm{mag}}=80\,\mathrm{Hz}/\mathrm{mT}\) \\ \hline Excitation amplitude & \(\dot{V}_{\mathrm{ex}}=1\,\mathrm{V}\) \\ \hline Feedback capacitance & \(C_{\mathrm{f}}=10\,\mathrm{pF}\) \\ \hline Transimpedance & \(|T(f_{\mathrm{res}})|=2.145\,\mathrm{M}\Omega\) \\ \hline Excitation frequency & \(f_{\mathrm{ex}}^{\mathrm{AM}}=f_{\mathrm{res}}\mp 0.352\,\mathrm{Hz}\) & \(f_{\mathrm{ex}}^{\mathrm{PM}}=f_{\mathrm{res}}\) \\ \hline Electrical sensitivity & \(S_{\mathrm{elec}}^{\mathrm{AM}}=\pm 112.7\cdot 10^{-3}\,\mathrm{1/Hz}\) & \(S_{\mathrm{elec}}^{\mathrm{PM}}=-239\cdot 10^{-3}\,\mathrm{rad/Hz}\) \\ \hline Sensitivity & \(f_{\mathrm{ex}}^{\mathrm{AM}}=4.35\,\mathrm{Hz}\) & \(f_{\mathrm{ex}}^{\mathrm{PM}}=4.18\,\mathrm{Hz}\) \\ frequency (\(-3\,\mathrm{dB}\)) & \(|S_{\mathrm{AM}}(1\,\mathrm{Hz})|=8.9\,\mathrm{1/mT}\) & \(|S_{\mathrm{PM}}(1\,\mathrm{Hz})|=18.6\,\mathrm{rad/mT}\) \\ \hline Thermal electrical & \(E_{\mathrm{d0}}(f_{\mathrm{res}})=27.5\,\mathrm{nV}/\sqrt{\mathrm{Hz}}\) \\ voltage noise density & \(E_{\mathrm{dm}}(f_{\mathrm{res}})=393\,\mathrm{nV}/\sqrt{\mathrm{Hz}}\) \\ Thermal mechanical & \(E_{\mathrm{dm}}(f_{\mathrm{res}})=393\,\mathrm{nV}/\sqrt{\mathrm{Hz}}\) \\ voltage noise density & \(S_{\mathrm{a}}(1\,\mathrm{Hz})=1.55\cdot 10^{-14}\,\mathrm{1/Hz}\) & \(S_{\mathrm{\varphi}}(1\,\mathrm{Hz})=1.45\cdot 10^{-14}\,\mathrm{rad^{2}/Hz}\) \\ \hline Noise cutoff frequency (\(-3\,\mathrm{dB}\)) & \(f_{\mathrm{cn}}^{\mathrm{AM}}=7.0\,\mathrm{Hz}\
eq f_{\mathrm{cs}}^{\mathrm{AM}}\) & \(f_{\mathrm{cn}}^{\mathrm{PM}}=4.18\,\mathrm{Hz}=f_{\mathrm{cs}}^{\mathrm{PM}}\) \\ \hline Overall detectivity cutoff frequency (\(+3\,\mathrm{dB}\)) & \(f_{\mathrm{cd}}^{\mathrm{AM}}=5.1\,\mathrm{Hz}\) & \(f_{\mathrm{cd}}^{\mathrm{PM}}=60.0\,\mathrm{Hz}\) \\ \hline \hline \end{tabular}
\end{table} 
Table 2: Electromechanical properties of the exemplary magnetic field sensor referred to in this article and resulting numerical values for the derived equations.