Series to Parallel Converter Calculator

Version 1.2   16 June 2020

Summary

This is a special purpose calculator which converts between series and parallel impedances.

Instructions

When the Widget is started, it displays a window with five fields.

Enter data into the first and second (serial) or third and fourth (parallel) fields.
The alternative form of the impedance is displayed in the other two fields when the RETURN or ENTER key is pressed, or the CALCULATE button is pressed.

Resistances must be non-negative. Reactances may be negative (for capacitance), positive (for inductance) or zero.

SI suffixes T, G, M, k, m, µ/u, n or p may be used, optionally followed by an Ω character. Type Alt-M for µ character. Type Alt-Z for Ω character.

If a valid frequency is entered into the fifth (frequency) field, then reactances may also be entered in Henries or Farads indicated by an H or F character. SI suffixes may be used.
The frequency field turns green when RETURN is pressed, if the frequency is valid.

Frequencies must be positive. SI suffixes may be used, optionally followed by the characters Hz.

Conversion Formulae

Series Parallel Diagram

Series to Parallel

    Rp = (Rs*Rs + Xs*Xs)/Rs
    Xp = (Rs*Rs + Xs*Xs)/Xs

Parallel to Series

    Rs = Rp*Xp*Xp/(Rp*Rp + Xp*Xp)
    Xs = Xp*Rp*Rp/(Rp*Rp + Xp*Xp)

Reactance to Capacitance or Inductance

    Reactance X Ω at frequency f Hz:

    X < 0 :  Capacitance C = -1/(2*π*f*X) Farads
    X ≥ 0 :  Inductance  L =     2*π*f*X  Henries

License

The Series to Parallel Conversion Calculator is Copyright © 2020 Harry Whitfield (G6AUC).

This program is free software; you can redistribute it and/or modify it under the terms of the GNU General Public License as published by the Free Software Foundation; either version 2 of the License, or (at your option) any later version.

This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.

You should have received a copy of the GNU General Public License along with this program; if not, write to the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA

Widget Concept, Coding and Documentation

Harry Whitfield (G6AUC)