Coil Resistance Report¶
The CoilResistanceReport computes the electrical resistance of the coil
based on its material properties and geometric configuration.
The resistance determines how much voltage is required to drive a given current
through a coil, and how much power is dissipated as heat.
What Is Resistance?¶
Electrical resistance quantifies how strongly a material opposes the flow of electric current. It is defined by Ohm’s law:
where \(V\) [V] is the voltage drop across the coil, \(I\) [A] is the electric current through the coil, and \(R\) [\(\Omega\)] is the coil resistance.
In the context of electromagnetic devices, resistance plays a key role as it determines the power losses due to Joule heating by \(P = I^2 R\).
Geometric and Material Dependence¶
The resistance \(R\) of a coil depends on both its geometry and the electrical conductivity of its material:
where \(\Omega\) is the volume of the conductor, \(\sigma\) is the electrical conductivity, and \(\mathbf{\tau}\) is the unit current density vector along the coil winding.
This expression ensures accurate resistance computation even for complex geometries, spatially varying materials, or non-uniform current distributions.