Calculator for on-axis or off-axis magnetic fields of air-cored solenoids using current loops.

Calculator Visualizing Magnetic Fields

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Vizimag free calculator mode allows the on axis or off axis magnetic field from round, finite, single or multi-layer air cored solenoids to be calculated from the theoretical equations. A numerical integration of the field due to a current loop is performed.

The calculator mode allows you to calculate the on-axis or off- axis flux density of single or multi-layer air-cored solenoids. The calculation performs a numerical integration using the theoretical equation of a current loop, and is accurate to several decimal places. In relative unit mode, the dimensions default to mm and Amps. Select other units using the absolute units mode and the calculator panel will pick these up. Just enter the required dimensions, turns and current on the panel, plus the x,y measurement point and click “Calculate”. If the coil length is zero, a single turn coil is assumed. The calculator assumes that the turns are evenly distributed along the solenoid and throughout the thickness.
The calculator is included in the Vizimag trial download, but will continue to operate even when the trial period of 30 days is over.

Click the icon to show the calculator panel.

Theory

The calculator performs a numerical integration of the equations for the off-axis field due to a current loop.

,   ,   , ,

and are the complete elliptic integrals of the first and second kind respectively, and are obtained by a series expansion. (See: Dwight, Tables of Integrals and Other Mathematical Data, Macmillan, 1957, p171).

(Tesla or Gauss depending on the units chosen)

Magnetic field inside a wire

If the measurement point is inside a wire the field is calculated as follows:

B is tangential to the radius of the wire, and the sign and Bx, By values are found by inspection and from the angle at the measurement point. The values are then summed with the field contributions of the off-axis fields from all the other turns.

Some Internet links for theoretical calculations:

Magnetic formulae:

http://www.netdenizen.com/emagnet/index.htm

Off axis field calculator:

http://www.netdenizen.com/emagnet/offaxis/iloopcalculator.htm

Bar magnet calculator:

http://www.integratedsoft.com/papers/benchmark/bar_magnet/calculator.asp

Magnetic field software. Vizimag modelling software gives visualization of field lines and flux density.

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		Visualizing Magnetic Fields
[ Home ] [ Consultancy ] [ Examples ] [ How it works ] [ Animations ] [ Ordering ] [ The Book ] [ Calculator ] [ Transformers ] [ Forum ]
	Vizimag free calculator mode allows the on axis or off axis magnetic field from round, finite, single or multi-layer air cored solenoids to be calculated from the theoretical equations. A numerical integration of the field due to a current loop is performed.
	The calculator mode allows you to calculate the on-axis or off- axis flux density of single or multi-layer air-cored solenoids. The calculation performs a numerical integration using the theoretical equation of a current loop, and is accurate to several decimal places. In relative unit mode, the dimensions default to mm and Amps. Select other units using the absolute units mode and the calculator panel will pick these up. Just enter the required dimensions, turns and current on the panel, plus the x,y measurement point and click “Calculate”. If the coil length is zero, a single turn coil is assumed. The calculator assumes that the turns are evenly distributed along the solenoid and throughout the thickness. The calculator is included in the Vizimag trial download, but will continue to operate even when the trial period of 30 days is over. Click the icon to show the calculator panel. Theory The calculator performs a numerical integration of the equations for the off-axis field due to a current loop. , , , , and are the complete elliptic integrals of the first and second kind respectively, and are obtained by a series expansion. (See: Dwight, Tables of Integrals and Other Mathematical Data, Macmillan, 1957, p171). (Tesla or Gauss depending on the units chosen) Magnetic field inside a wire If the measurement point is inside a wire the field is calculated as follows: B is tangential to the radius of the wire, and the sign and Bx, By values are found by inspection and from the angle at the measurement point. The values are then summed with the field contributions of the off-axis fields from all the other turns. Some Internet links for theoretical calculations: Magnetic formulae: http://www.netdenizen.com/emagnet/index.htm Off axis field calculator: http://www.netdenizen.com/emagnet/offaxis/iloopcalculator.htm Bar magnet calculator: http://www.integratedsoft.com/papers/benchmark/bar_magnet/calculator.asp

Magnetic field software. Vizimag modelling software gives visualization of field lines and flux density.

	[ Home ] [ Consultancy ] [ Examples ] [ How it works ] [ Animations ] [ Ordering ] [ The Book ] [ Calculator ] [ Transformers ] [ Forum ]