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An electrostatically actuated MEMS resonator is simulated in the time and frequency domains. The device is driven by an AC + DC bias voltage applied across a parallel plate capacitor. The dependence of the resonant frequency on DC bias is assessed, and frequency domain and transient ... 詳細を見る
A transient model of a capacitor is solved in combination with an external electrical circuit. The finite element model of the capacitor is combined with a circuit model of a voltage source and a resistor. A step change in voltage is applied, and the transient current through the ... 詳細を見る
In modeling of transport by diffusion or conduction in thin layers, we often encounter large differences in dimensions of the different domains in a model. If the modeled structure is a so-called sandwich structure, we can replace the thinnest geometrical layers with a thin layer ... 詳細を見る
AT cut quartz crystals are widely employed in a range of applications, from oscillators to microbalances. One of the important properties of the AT cut is that the resonant frequency of the crystal is temperature independent to first order. This is desirable in both mass sensing and ... 詳細を見る
The common electroanalytical method of exhaustive amperometric detection in a microscopic thin layer is modelled as a 1D-symmetric diffusion problem. The simulated result agrees with the analytical Cottrell equation at short times, and deviates as expected at long times when the ... 詳細を見る
This model deals with electrohydrodynamics (EHD), where a charge separation on the phase boundary between a liquid and air involves the formation of a charged layer. This charged layer allows for a net force to be induced at the interphase when a large electric field is applied. The ... 詳細を見る
Electrochemical glucose sensors use amperometric methods to measure the concentration of glucose in a sample. This example models the diffusion of glucose and ferri/ferrocyanide redox mediators in a unit cell of electrolyte above an interdigitated electrode. The sensor gives a linear ... 詳細を見る
Space charge limited emission is a phenomenon that restricts the current of charged particles that can be released from a surface. As the electron current released by a cathode increases, so does the magnitude of the charge density in the immediate vicinity of the cathode. This ... 詳細を見る
A capacitor with an applied sinusoidally time-varying voltage difference is modeled. A wide frequency range is considered and the impedance of the device is computed. Solver accuracy is addressed. The relationship between the frequency domain impedance and the steady-state capacitance ... 詳細を見る