ENSC 320 Chapter Notes  Chapter 6: Inductor, Short Circuit, Inductance
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24 Jul 2016
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The inductor vi equation:

If the current is constant/dc => behaves as short circuit.

The current cannot change by a finite amount in zero time

The inductor iv equation:

Power in an inductor:

Energy in an inductor:

Section 6.1 The Inductor (Pg. 176)
The capacitor iv equation:

The capacitor vI equation:

Power in a capacitor:

Energy in a capacitor:

Section 6.2 The Capacity (Pg. 182)
Inductors and capacitors are passive elements because they cannot generate/dissipate energy

Section 6.3 SeriesParallel Combinations of Inductors and Capacitance (Pg. 187)
Combining inductors in series:

Combining inductors in parallel:

Equivalent inductance initial current:

Inductance:
Combing capacitors in series:

Combining capacitors in parallel:

Equivalent capacitance initial voltage:

Capacitance:

& = selfinductances of the two magnetically coupled coils
Mutual inductance (M) : the pair of coils with this value of mutual inductance

Mesh currents is used to analyze circuits containing mutual inductance (easiest way)

"dot convention" = a method to track the polarities

See the procedure for determining dot markings at Pg. 191

Section 6.4 Mutual Inductance (Pg. 187)
=> = number of turns on the coil
=> Magnitude of the flux
=> = the permeance of the space occupied by the flux
Faraday's Law:
, where the flux linkage [Wb]

;
=> For coils wound on nonmagnetic cores:
The concept of mutual inductance derived from Faraday's Law:

=> where and
=> Thus, relating selfinductances and mutual inductance using coupling coefficient:
where = coefficient of coupling and
=> : the two coils have no common flux ( )
=> : all the flux that links coil 1 also links coil 2 ( )
Mutual Inductance in terms of selfinductance

Energy stored in magneticallycoupled coils:

Section 6.5 A Closer Look at Mutual Inductance (Pg. 193)
ENSC320 Textbook Ch6 Summary
ENSC3207 Page 1