Circuit Analysis1 Fall2014 EE 1111 Instructor Hafiz Zaheer Hussain Email zaheerhussaineeuoledupk wwwhafizzaheerpbworkscom Department of Electrical Engineering The University of Lahore ID: 578024
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Circuit Analysis-1 Fall-2014EE -1111Instructor: Hafiz Zaheer Hussain
Email: zaheer.hussain@ee.uol.edu.pkwww.hafizzaheer.pbworks.comDepartment of Electrical Engineering
The University of Lahore
Lecture # 25 & 26
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Content
Introduction
Capacitor
Energy storage in capacitor
Series and parallel Capacitors
Energy storage in Inductor
Series and parallel InductorsSlide5
22/12/20145An inductor is a passive element that stores energy in its magnetic field. Generally. An inductor consists of a coil of conducting wire wound around a core.
InductorSlide6
22/12/20146An inductor is a passive element that stores energy in its magnetic field. Generally. An inductor consists of a coil of conducting wire wound around a core. For the inductorInductance
where L is the inductance in henrys (H), and 1 H = 1 volt second/ampere.Inductance is the property whereby an inductor exhibits opposition to the change of current flowing through itSlide7
Symbols of InductorsSlide8
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where i(t0) = the total current evaluated at t0 and i() 0 (which is reasonable since at some time there was no current in the inductor).
Relationship Between Current and Voltage
Integrating gives
Or Slide9
Relationship Between Current and VoltageSlide10
Content
Introduction
Capacitor
Energy storage in capacitor
Series and parallel Capacitors
Inductor
Series and parallel InductorsSlide11
22/12/201411Energy Storage in an Inductor
The instantaneous power delivered to an inductor is
The energy stored in the magnetic field is thusSlide12
22/12/201412An Inductor Properties
An inductor has the following important properties:An inductor acts like a short circuit to dc, since from v = 0 when i = a constant.
The
current through an inductor cannot change
instantaneously, since an instantaneous change in current would require an infinite voltage, which is not physically possible.Slide13
22/12/201413An Inductor Properties
An inductor has the following important properties:3. Like the ideal capacitor, the ideal inductor does not dissipate energy.4. A real inductor has a significant resistance due to the resistance of the coil, as well as a “winding capacitance”. Thus, the model for a real inductor is shown below.
In this course,
however, we will use ideal inductors and assume that an
ideal inductor is a good model. Slide14
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Content
Introduction
Capacitor
Energy storage in capacitor
Series and parallel Capacitors
Inductor
Energy storage in InductorSlide21
22/12/201421Series Inductor
The equivalent inductance of series connected inductors is the sum of the
individual inductances
.
Note:
inductances in series combine in the same way as resistors in series. Slide22
22/12/201422Parallel Inductor
The
equivalent inductance of parallel connected inductors is the reciprocal of the sum of the reciprocals of the individual inductances
.Slide23
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