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Electrostatic Analysis

Electrostatic is the branch of science that deals with the phenomena arising from stationary and/or slow-moving electric charges. Electrostatic approximation rests on the assumption that the electric field is irrotational, i.e. the curl of the electric field is null. From Faraday's law, this assumption implies the absence or near-absence of time-varying magnetic fields, i.e. the derivative of the magnetic field with respect to time is also null. In other words, electrostatics does not require the absence of magnetic fields or electric currents. Rather, if magnetic fields or electric currents do exist, they must not change with time, or in the worst-case, they must change with time only very slowly. In some problems, both electrostatics and magnetostatics may be required for accurate predictions, but the coupling between the two can still be ignored.

Applications
The Electrostatic module is primarily used for computing electric potential and electric field due to charges and voltages in insulators and conductors. It has many practical applications, including:

• High Voltage Components
• Insulating Systems
• EMC Compatibility
• Bus Bars
• MEMS
• Shielding
• Cables
• Switchgear
• Transformers
• Electronic tubes
• Capacitors

Results
The Electrostatic module outputs the following results for each study:

• Electrostatic potential
• Electric field
• Electric flux density
• Capacitance matrix
• Force
• Torque
• Stored energy
• Temperature
• Heat flux

Examples of design issues
The Electrostatic module can help study a large number of devices and address numerous insulating and conducting phenomena. Below is just a partial list:

• Avoid rapid reduction in the resistance of an electrical insulator, that can lead to a spark jumping around or through the insulator, i.e. dielectric breakdown. This phenomenon is common in high voltage and high power applications.
• Avoid the ionization of a fluid surrounding a conductor, i.e. corona effect, in some applications such as power transmission equipments, transformers, capacitors, electric motors and generators.
• Produce corona in some other applications such as the manufacturing of ozone, scrubbing particles from air in applications such as air-conditioning systems, in nitrogen laser, when removing the unwanted electric charges from the surface of aircraft in flight, and in electrostatic copying.
• Assure that a high voltage machine is properly grounded.
• Reduce the electrostatic discharge in PCB and electronic designs.
• Assure the proper actuation force in MEMS and RF-MEMS designs.
• Avoid cross talk and distortion in electronic devices.
• Assure that a charged particle follows a desired trajectory.
• Compute the capacitance matrix, i.e. self capacitance and mutual capacitance, for high-speed electronic circuits and interconnects.
• Compute the electric field, electric flux, and voltage in insulators and around conductors.