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Chapter 2 Circuit element
1. Voltage and current sources. 2. Electrical resistance (Ohm’s law). 3. Construction of a circuit model. 4. Kirchhoff’s laws. 5. Analysis of a circuit containing dependent sources.
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2.1 Voltage and current sources
Electrical source : a device that is capable of converting nonelectric energy to electric energy and vice versa. Ideal voltage source (2.1(a)) : a circuit element that maintains a prescribed voltage across its terminals regardless of the current flowing in those terminals. Ideal current source (2.1(b)) : a circuit element that maintains a prescribed current through its terminals regardless of the voltage across those terminals.
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Voltage and current sources
Independent source (2.1) : a voltage or current source in a circuit without relying on voltages or currents elsewhere in the circuit. Dependent source (controlled source ; 2.2) : a voltage or current source whose value depends on voltages or currents elsewhere in the circuit. Ideal dependent voltage-controlled voltage source (2.2(a)) :
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Voltage and current sources
Ideal dependent current-controlled voltage source (2.2(b)) : Ideal dependent voltage-controlled current source (2.2(c)) : Ideal dependent current-controlled current source (2.2(d)) : Active element : a device capable of generating electric energy. Passive device : a device that cannot generate electric energy.
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2.1 (a) : valid; (b) : valid; (c) : not permissible;
(d) : not permissible; (e) : valid.
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2.2 (a) : invalid; (b) : valid; (c) : valid; (d) : invalid.
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2.2 Electric resistance (Ohm’s law)
Resistance : the capacity of materials to impede or resist the flow of current. Resistor (2.5) : a circuit element used to model above behavior. Ohm’s law (2.6) :
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Electric resistance (Ohm’s law)
Current as a function of the voltage : Conductance (siemens (S), mho( )) : the reciprocal of the resistance. Power at the terminals of a resistor :
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2.3
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2.3 Construction of a circuit model;
2.9 flashlight circuit 2.10 switch. Short circuit : R=0; open circuit : R=infinity.
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2.5
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2.4 Kirchhoff’s laws Node : a point where two or more circuit elements meet. 2.15 flashlight circuit model Ohm’s law : Kirchhoff’s current law (KCL) : the algebraic sum of all the currents at any node in a circuit equals zero. 2.15 node KCL :
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Kirchhoff’s laws Path : a trace of adjoining basic elements with no elements include more than once. Closed path (loop) : a path whose last node is the same as the starting node. Kirchhoff’s voltage law (KVL) : the algebraic sum of all the voltages around any closed path in a circuit equals zero. 2.15 KVL : The elements are in series when just two elements connect at a single node.
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2.16 KCL : 2.17KVL :
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2.8 2.19 KCL& KVL.
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2.9 2.21(b) for 10ohm :
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2.9
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2.5 Analysis of a circuit containing dependent sources
1. Once we know , we can calculate using Ohm’s law. 2. Once we know , we also know the current supplied by the dependent source 3. The current in the 500 V source is .
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Analysis of a circuit containing dependent sources
2.22 loop KVL : Node b KCL :
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2.10 2.23 Kirchhoff’s law Ohm’s law. KVL : Ohm’s law : Power :
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2.11 2.24 transistor amplifier base current KCL :
Dependent source constraint : KVL :
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