Electromechanical Design Handbook, Third Edition

Resistance in series:
Resistance in parallel:

Capacitance in series:

Capacitance in parallel:
The capacitance of a parallel-plate capacitor element is given as
where C = capacitance, picofarads (pF)
K = dielectric constant of insulating medium
A = area of one plate, cm 2
n = number of plates
d = thickness of the dielectric, cm
If A and d are given in inches, the constant (0.0885) becomes 0.224.
Self-Inductance. In series:
In parallel:
Coupled Inductance. In series with fields aiding:
In series with fields opposing:
In parallel with fields aiding:
In parallel with fields opposing:
where L t = total inductance
M = mutual inductance
L 1, L 2 = self-inductance of individual coils
Mutual Inductance ( M)
where M = mutual inductance, same units as L A and L O
L A = total inductance of coils L 1 and L 2, fields aiding
L O = total inductance of coils L 1 and L 2, fields opposing
Resonance. The resonant frequency, or frequency at which inductive reactance ( X L) equals capacitive reactance ( X C) is given as
where f r = resonant frequency, Hz
L = inductance, H
C = capacitance, F
Reactance. Inductive:
Capacitive:
where X L = inductive reactance, ? (positive reactance)
X C