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Circuit Analysis-1 Fall-2014 EE Instructor: Hafiz Zaheer Hussain Department of Electrical Engineering The University of Lahore Lecture # 23 & 24 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 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 22/12/2014
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Introduction 22/12/2014
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Content Capacitor Introduction Energy storage in capacitor
Series and parallel Capacitors Inductor Energy storage in Inductor Series and parallel Inductors 22/12/2014
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Capacitor 22/12/2014
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Capacitance we define:
Capacitance is the ratio of the charge on one plate of a capacitor to the voltage difference between the two plates, measured in Farad (F). Thus, 1F = 1 coulomb/volt 22/12/2014
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Capacitance 22/12/2014
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Capacitors are commercially available in different values and types.
Commercially Available Capacitor Capacitors are commercially available in different values and types. Electrolytic Capacitors Ceramic Capacitors Chip Capacitors Polarity must be observed 22/12/2014
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Fixed & Variable Capacitors
Symbol 22/12/2014
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Polar & Non-polar Capacitors
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Capacitance 22/12/2014
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Current- Voltage Relationship of the Capacitor
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Current and Voltage Expression
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Capacitor Properties The capacitor has the following important properties: When the voltage across a capacitor is constant (not changing with time) the current through the capacitor: i = C dv/dt = 0 Thus, a capacitor is an open circuit to dc. If, however, a dc voltage is suddenly connected across a capacitor, the capacitor begins to charge (store energy). The voltage across a capacitor must be continuous, since a jump (a discontinuity) change in the voltage would require an infinite current, which is physically impossible. Thus, a capacitor resists an abrupt change in the voltage across it, Conversely The voltage across a capacitor cannot change instantaneously 22/12/2014
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Capacitor Properties The capacitor has the following important properties: 3. The ideal capacitor does not dissipate energy. It takes power from the circuit when storing energy and returns previously stored energy when delivering power to the circuit. 4. A real, non-ideal, capacitor has a “leakage resistance” which is modeled as shown below. The leakage resistance may be as high as 100M, and can be neglected for most practical applications. Note: In this course we will always assume that the capacitors are ideal. 22/12/2014
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Content Introduction Energy storage in capacitor Capacitor
Series and parallel Capacitors Inductor Energy storage in Inductor Series and parallel Inductors 22/12/2014
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Energy Storage 22/12/2014
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Energy Storage 22/12/2014
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Content Introduction Series and parallel Capacitors Capacitor
Energy storage in capacitor Series and parallel Capacitors Inductor Energy storage in Inductor Series and parallel Inductors 22/12/2014
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