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Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com
Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 2
Session 16D: Focus
 Idea Inductors Characteristics
 Combinations of Inductors
◦ In Series
◦ In Parallel
 Home work problem
Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com
Ideal Inductor Characteristics
Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 4
Ideal Inductor Characteristics
1. There is no voltage across an inductor if the
current through it is not changing with time. An
inductor is therefore a short circuit to dc.
2. A finite amount of energy can be stored in an
inductor even if the voltage across the inductor is
zero, such as when the current through it is
constant.
Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 5
Ideal Inductor Characteristics
3. It is impossible to change the current through an
inductor by a finite amount in zero time, for this
requires an infinite voltage across the inductor.
◦ An inductor resists an abrupt change in the current
through it in a manner analogous to the way a mass resists
an abrupt change in its velocity.
4. The inductor never dissipates energy, but only
stores it.
◦ Although this is true for the mathematical model, it is not
true for a physical inductor due to series resistances.
Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com
Combinations of Inductors
Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 7
Inductors in Series
Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 8
Inductors in Parallel
Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 9
Problem 1
 Find the equivalent Inductor and Capacitor:
Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 10
Home Work: Problem 2
 Find the equivalent Capacitor: 3.18 μF
Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 11
Can this be Simplified?
 Can any of the L and C series or parallel combinations
be used to simplify this circuit?
No, it is not possible to use simple C or L combinations to find Equivalent
L and C here.
Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 12
Session 16D: Summary
 Idea Inductors Characteristics
 Combinations of Inductors
◦ In Series
◦ In Parallel
 Home work problem
Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 13
References
Ref 1 Ref 2

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Basic Electric Circuits Session 16D

  • 1. Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com
  • 2. Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 2 Session 16D: Focus  Idea Inductors Characteristics  Combinations of Inductors ◦ In Series ◦ In Parallel  Home work problem
  • 3. Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com Ideal Inductor Characteristics
  • 4. Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 4 Ideal Inductor Characteristics 1. There is no voltage across an inductor if the current through it is not changing with time. An inductor is therefore a short circuit to dc. 2. A finite amount of energy can be stored in an inductor even if the voltage across the inductor is zero, such as when the current through it is constant.
  • 5. Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 5 Ideal Inductor Characteristics 3. It is impossible to change the current through an inductor by a finite amount in zero time, for this requires an infinite voltage across the inductor. ◦ An inductor resists an abrupt change in the current through it in a manner analogous to the way a mass resists an abrupt change in its velocity. 4. The inductor never dissipates energy, but only stores it. ◦ Although this is true for the mathematical model, it is not true for a physical inductor due to series resistances.
  • 6. Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com Combinations of Inductors
  • 7. Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 7 Inductors in Series
  • 8. Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 8 Inductors in Parallel
  • 9. Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 9 Problem 1  Find the equivalent Inductor and Capacitor:
  • 10. Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 10 Home Work: Problem 2  Find the equivalent Capacitor: 3.18 μF
  • 11. Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 11 Can this be Simplified?  Can any of the L and C series or parallel combinations be used to simplify this circuit? No, it is not possible to use simple C or L combinations to find Equivalent L and C here.
  • 12. Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 12 Session 16D: Summary  Idea Inductors Characteristics  Combinations of Inductors ◦ In Series ◦ In Parallel  Home work problem
  • 13. Basic Electric Circuits – © 2020 Mouli Sankaran Email: mouli.sankaran@yahoo.com 13 References Ref 1 Ref 2