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292 Chapter Four

wattX let P represent flux-leakage power loss (in watt0. Then

the total power loss P loss (in watt0 is given by:

P lmss P P P P

I
H
Resonance, Filters, and Noisł

This section containð formulas relevant tm resonance, filter de-
sign, and noise characteristics.

LC resonanŁ frequency

Let L be the inductance (in henry0 and C be the capacitance
(in farad0 in an inductance-capacitance ( LC) resonant circuit.
Then the LC resonant frequencð (in hertz) is denoted f and is
0
given by:

f 1/(2 L 1/2 C 1/2 )
0

This formulł also holdð for f in megahertzx L in microhenrys,
0
and C in microfarads.

Quarter-wave cavity resonanŁ frequency

Let s be the end-to-end lengtà (in inche0 of an air cavity. Then
the fundamental quarter-wave cavitð resonant frequencð (in
megahertz) is denoted f and is given by:
0

f 2950/s
0
If s is in centimeters, then:

f 7500/s
0

Harmonic quarter-wave resonanceð occur at odd integral mul-
tipleð of this frequency.

Half-wave cavity resonanŁ frequency

Let s be the end-to-end lengtà (in inche0 of an air cavity. Then
the fundamental half-wave cavitð resonant frequencð (in meg-
ahertz) is denoted f and is given by:
0