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Inductor
 OPPOSE THE FLOW OF AC BY temporarily
storing some of the electrical energy as
a magnetic field.
 Consist of wire coils.
Inductance
 The ability of
the wire coil or
loop to store
energy.
 abbreviated
by the letter L
Inductance
 is directly proportional to the number of
turns of wire.
 is also directly proportional to the diameter
of the coil.
 the longer the coil, the less the inductance
𝛍o 𝛍r AN2
𝓵
L =
A = cross sectional area
N = no. of turns
𝓵 = length of coil
Unit of Inductance
 henry, abbreviated H,
 represents a potential difference of one
volt across an inductor within which the
current is increasing or decreasing at one
ampere per second.
Inductor in series
Without interaction
L = L1 + L2 + L3
Inductor in Parallel
L L1 L2 L3
1 1 1 1
= + +
Coefficient of coupling
 specified by the letter k, is a number
ranging from 0 (no coupling) to 1 (maximum
possible coupling).
 Two coils that are separated by a sheet of
solid iron would have essentially k = 0
 two coils wound on the same form, one
right over the other, would have practically
k = 1.
Mutual inductance
 is specified by the letter M
 is expressed in the same units as
inductance:
Effects of mutual
inductance
 When two inductors are connected in
series, and there is reinforcing/aiding
mutual inductance between them.
Effects of mutual
inductance
 When two inductors are connected in
series, and there is opposing mutual
inductance between them.
Effects of mutual
inductance
 When two inductors are connected in
parallel, and there is reinforcing/aiding
mutual inductance between them.
L1L2 - M2
L1 + L2 - 2M
L =
Effects of mutual
inductance
 When two inductors are connected in
parallel, and there is opposing mutual
inductance between them.
L1L2 - M2
L1 + L2 + 2M
L =
Energy stored in
the inductor
I2L
2
W = Joules
Example 1
a. Find L if L1 and L2 are reinforcing.
b. Find L if L1 and L2 are opposing.
Example 2
There are two coils with values L1 = 835 μH and
L2 = 2.44 mH. They are connected in series so
that their coefficient of coupling is 0.922,
acting so that the coils oppose each other.
What is the net inductance of the pair?
Ee40 final 1

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Ee40 final 1

  • 1.
  • 2. Inductor  OPPOSE THE FLOW OF AC BY temporarily storing some of the electrical energy as a magnetic field.  Consist of wire coils.
  • 3. Inductance  The ability of the wire coil or loop to store energy.  abbreviated by the letter L
  • 4. Inductance  is directly proportional to the number of turns of wire.  is also directly proportional to the diameter of the coil.  the longer the coil, the less the inductance 𝛍o 𝛍r AN2 𝓵 L = A = cross sectional area N = no. of turns 𝓵 = length of coil
  • 5. Unit of Inductance  henry, abbreviated H,  represents a potential difference of one volt across an inductor within which the current is increasing or decreasing at one ampere per second.
  • 6. Inductor in series Without interaction L = L1 + L2 + L3
  • 7. Inductor in Parallel L L1 L2 L3 1 1 1 1 = + +
  • 8. Coefficient of coupling  specified by the letter k, is a number ranging from 0 (no coupling) to 1 (maximum possible coupling).  Two coils that are separated by a sheet of solid iron would have essentially k = 0  two coils wound on the same form, one right over the other, would have practically k = 1.
  • 9. Mutual inductance  is specified by the letter M  is expressed in the same units as inductance:
  • 10. Effects of mutual inductance  When two inductors are connected in series, and there is reinforcing/aiding mutual inductance between them.
  • 11. Effects of mutual inductance  When two inductors are connected in series, and there is opposing mutual inductance between them.
  • 12. Effects of mutual inductance  When two inductors are connected in parallel, and there is reinforcing/aiding mutual inductance between them. L1L2 - M2 L1 + L2 - 2M L =
  • 13. Effects of mutual inductance  When two inductors are connected in parallel, and there is opposing mutual inductance between them. L1L2 - M2 L1 + L2 + 2M L =
  • 14. Energy stored in the inductor I2L 2 W = Joules
  • 15. Example 1 a. Find L if L1 and L2 are reinforcing. b. Find L if L1 and L2 are opposing.
  • 16. Example 2 There are two coils with values L1 = 835 μH and L2 = 2.44 mH. They are connected in series so that their coefficient of coupling is 0.922, acting so that the coils oppose each other. What is the net inductance of the pair?