Electromechanical Design Handbook, Third Edition

6.2: CIRCUIT ELEMENTS

6.2 CIRCUIT ELEMENTS

6.2.1 Basic Circuit Formulas

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

UNLIMITED FREE
ACCESS
TO THE WORLD'S BEST IDEAS

SUBMIT
Already a GlobalSpec user? Log in.

This is embarrasing...

An error occurred while processing the form. Please try again in a few minutes.

Customize Your GlobalSpec Experience

Category: Inductance Standards and Decades
Finish!
Privacy Policy

This is embarrasing...

An error occurred while processing the form. Please try again in a few minutes.