Calculating the Current along a Wire or Trace

Description

Obtains the full complex current in a wire or trace conductor (e.g., microstrip, stripline) at a specific location by integrating the magnetic field along a closed path encircling the conductor. .

where l is a closed path, which could be a circled line object

Usage Examples

To find the current distribution along a wire (dipole, monopole, etc.) antenna, this calculation could be repeated at periodic positions along the length of the antenna.

Prerequisites

You must create a closed line for the integration path using Draw>Line before beginning calculator operations. The line must be orthogonal to the direction of current flow, should not intersect the wire/trace, and should not be too much bigger than the wire/trace.

Calculator Operation	Resulting Stack Display (top entry only unless noted)
Quantity>H	CVc : <Hx,Hy,Hz>
Complex>Real	Vec : Real(<Hx,Hy,Hz>)
Geometry>Line...>{select line}	Lin : Line (line1) (user line name may differ from example)
Tangent	SclLin: LineValue(Line(...),Dot(Real<Hx,Hy,Hz>), LineTangent))
	Scl : Integrate(Line(....
Complex>CmplxReal	CSc : CmplxR(Integrate(Line(Line1),Dot(…)))
Quantity>H	CVc : <Hx,Hy,Hz>
Complex>Imag	Vec : Imag(<Hx,Hy,Hz>)
Geometry>Line...>{select line}	Lin : Line (line1) (user line name may differ from example)
Tangent	ScLin: LineValue(Line(...),Dot(Imag<Hx,Hy,Hz>), LineTangent))
	Scl : Integrate(Line(....
Complex>CmplxImag	CSc : CmplxI(Integrate(Line(Line1,Dot(…)))
+	CSc: (CmplxR(Integrate(Line(Line1),Dot(…))), CmplxI(Integrate(Line(Line1),Dot(…))))
Eval	CSc : {complex numerical value} (Final complex current result)