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Circuit Analysis-1 Fall-2014 EE Instructor: Hafiz Zaheer Hussain Department of Electrical Engineering The University of Lahore Lecture # 25 & 26 22/12/2014
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Content Introduction Capacitor Inductor Energy storage in capacitor
Series and parallel Capacitors Inductor Energy storage in Inductor Series and parallel Inductors
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Inductor An 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. 22/12/2014
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Inductance An 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 inductor 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 it 22/12/2014
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Symbols of Inductors
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Relationship Between Current and Voltage
Integrating gives Or 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). 22/12/2014
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Relationship Between Current and Voltage
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Content Introduction Capacitor Energy storage in Inductor
Energy storage in capacitor Series and parallel Capacitors Inductor Energy storage in Inductor Series and parallel Inductors
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Energy Storage in an Inductor
The instantaneous power delivered to an inductor is The energy stored in the magnetic field is thus 22/12/2014
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An inductor has the following important properties:
An 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. 22/12/2014
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An inductor has the following important properties:
An 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. 22/12/2014
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Content Introduction Capacitor Energy storage in capacitor
Series and parallel Capacitors Inductor Energy storage in Inductor Series and parallel Inductors
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Series 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. 22/12/2014
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Parallel Inductor The equivalent inductance of parallel connected inductors is the reciprocal of the sum of the reciprocals of the individual inductances. 22/12/2014
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