Download A Review of Self Inductance

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project

Document related concepts

Superconducting magnet wikipedia , lookup

Neutron magnetic moment wikipedia , lookup

Magnetic field wikipedia , lookup

Friction-plate electromagnetic couplings wikipedia , lookup

Electric machine wikipedia , lookup

Magnetic nanoparticles wikipedia , lookup

Aurora wikipedia , lookup

Electricity wikipedia , lookup

High voltage wikipedia , lookup

Alternating current wikipedia , lookup

Earthing system wikipedia , lookup

Ohm's law wikipedia , lookup

Induction heater wikipedia , lookup

Magnetic monopole wikipedia , lookup

History of electromagnetic theory wikipedia , lookup

History of electrochemistry wikipedia , lookup

Magnet wikipedia , lookup

Electromagnetism wikipedia , lookup

Lorentz force wikipedia , lookup

Galvanometer wikipedia , lookup

Force between magnets wikipedia , lookup

Hall effect wikipedia , lookup

Skin effect wikipedia , lookup

Ferrofluid wikipedia , lookup

Multiferroics wikipedia , lookup

Magnetism wikipedia , lookup

Magnetic core wikipedia , lookup

Coilgun wikipedia , lookup

Magnetoreception wikipedia , lookup

Eddy current wikipedia , lookup

Scanning SQUID microscope wikipedia , lookup

Magnetohydrodynamics wikipedia , lookup

Magnetochemistry wikipedia , lookup

Electromotive force wikipedia , lookup

Electromagnet wikipedia , lookup

Superconductivity wikipedia , lookup

History of geomagnetism wikipedia , lookup

Faraday paradox wikipedia , lookup

Transcript
Self - Inductance
• Faraday postulated that a magnetic field
consists of lines of force surrounding the
current-carrying conductor.
• Think of these lines as elastic bands that
close on themselves.
• As the current increases and decreases,
the bands expand and collapse about the
conductor.
ECE 201 Circuit Theory I
1
Self – Inductance continued
Compress for decreasing
magnetic field (due to
decreasing current).
Faraday’s Law : the
voltage induced into the
conductor is proportional
to the number of lines
that cut the conductor.
Expand for increasing
magnetic field (due to
increasing current).
ECE 201 Circuit Theory I
2
Faraday’s Law
d
v
dt
λ is called the “flux linkage” and is measured in weber-turns
ECE 201 Circuit Theory I
3
Magnetic field linking an N-turn coil
  N
  PNi
ECE 201 Circuit Theory I
4
Permeance, P
• Permeance describes the magnetic
properties of the space occupied by the
flux.
• Linear for non-magnetic materials
• Units are webers/ampere-turn.
ECE 201 Circuit Theory I
5
d  d ( N )
v

dt
dt
d
d
vN
 N (PNi )
dt
dt
di
di
2
vN P L
dt
dt
LN
2
Self - Inductance
ECE 201 Circuit Theory I
6
Voltage Polarity
• When i increases, di/dt is + and v is +.
– Energy produces the magnetic field
ECE 201 Circuit Theory I
7
Voltage Polarity
• When i decreases, di/dt is - and v is -.
– i is still +
– Magnetic field collapses
-
+
ECE 201 Circuit Theory I
8