Mathematical Symbols

The following list of mathematical symbols are used throughout the site, and have been defined here for consistency and clarity in their meaning, scope, and application to the various presented experimental results, measurements, and analysis:

LP = Inductance of the primary coil.

CP = Capacitance box value connected in parallel with the primary coil.

LPCP = Parallel resonant circuit formed by the primary.

CPP = Self-capacitance of the primary including any parasitic capacitance of connections and/or other components.

FP = Fundamental resonant frequency of the primary.

LS = Inductance of the secondary coil.

CS = Self-capacitance of the secondary coil.

LSCS = Resonant circuit formed by the inductance of the secondary combined with self-capacitance of the secondary.

FS = Fundamental resonant frequency of the secondary (FS1).

FS2 = Second harmonic of FS up to FSN the nth-harmonic.

FØ = Frequency at which a phase change takes place.

FØ180 = Frequency at which a 180° phase change takes place.

FU = Upper resonant frequency of the flat coil.

FL = Lower resonant frequency of the flat coil.

M1 – MN = Frequency markers on the results can be identified with a down pointing arrow on the result curve with a number above it.

Q – The quality factor of an impedance feature. For example, as the Q increases a resonance peak will become sharper and narrower, and as the Q decreases a resonance peak will become more rounded and wider.

|Z| – Magnitude of the impedance, (|ZS| for secondary, |ZP| for primary, |ZU| for the upper frequency of the flat coil, and |ZL| for the lower frequency of the flat coil).

Ø – Phase of the impedance.