EE_10_F07_Lecture 11 - UCLA ELECTRICAL ENGINEERING...

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UCLA E LECTRICAL E NGINEERING D EPARTMENT : EE 10: C IRCUIT A NALYSIS 1 L ECTURE 11 L ECTURE 11 LECTURE NOTES: NOV 14, 2007 OUTLINE REVIEW ........................................................................................................................................ 1 NEW TOPICS: CIRCUITS WITH REACTIVE ELEMENTS ................................................ 2 MAGNETIC INDUCTION .......................................................................................................... 2 INDUCTOR CIRCUIT ELEMENTS .......................................................................................... 3 CURRENT-VOLTAGE RELATIONSHIPS IN THE INDUCTOR CIRCUIT ELEMENT . 3 POWER DISSIPATION IN INDUCTOR CIRCUIT ELEMENTS ......................................... 8 ENERGY STORAGE IN INDUCTOR CIRCUIT ELEMENTS .............................................. 9 CAPACITANCE AND THE DISPLACEMENT CURRENT ................................................. 10 CAPACITOR CIRCUIT ELEMENTS ..................................................................................... 10 CURRENT-VOLTAGE RELATIONSHIPS IN THE CAPACITOR CIRCUIT ELEMENT ....................................................................................................................................................... 12 POWER DISSIPATION IN CAPACITOR CIRCUIT ELEMENTS ..................................... 17 ENERGY STORAGE IN CAPACITOR CIRCUIT ELEMENTS ......................................... 17 SPEED IN DIGITAL CIRCUITS .............................................................................................. 19 FUNDAMENTAL SWITCHING SPEED LIMITATIONS IN DIGITAL CIRCUITS ........ 19 ENERGY DISSIPATION IN DIGITAL CIRCUITS ............................................................... 20 INDUCTOR EQUIVALENT CIRCUITS ................................................................................. 22 CAPACITOR EQUIVALENT CIRCUITS .............................................................................. 24 RESPONSE OF R-C AND R-L CIRCUITS ............................................................................. 26 NATURAL RESPONSE OF R-L CIRCUITS .......................................................................... 27 NATURAL RESPONSE OF R-C CIRCUITS .......................................................................... 31 STEP RESPONSE OF R-L CIRCUITS .................................................................................... 35 STEP RESPONSE OF R-C CIRCUITS .................................................................................... 37 REVIEW Problem Solving Methods for Non-Ideal Operational Amplifier Circuits Problem Solving Methods for Ideal Operational Amplifier Circuits PSpice Simulation Methods for Operational Amplifier Circuits 1
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UCLA E LECTRICAL E NGINEERING D EPARTMENT : EE 10: C IRCUIT A NALYSIS 1 L ECTURE 11 NEW TOPICS: CIRCUITS WITH REACTIVE ELEMENTS Our study of circuits in EE10 began with the fundamental Kirchoff Laws for currents at a node and voltages around a path. Then, we used the properties of resistors defined by Ohm’s Law to analyze circuits consisting of independent and dependent current and voltage sources and resistors. This allows us to analyze static circuit systems, where current and voltage signals remain constant. Now, for virtually every electrical engineering circuit application, we are interested in both static and dynamic response of circuits. When current and voltage change with time, we encounter the motion of charge (creating time varying electric fields) and changing currents (creating time varying magnetic fields.) We will observe that all electronic components are affected by these phenomena. We will find that we must characterize the Capacitance and Inductance of circuit structures. We will see that Capacitance and Inductance may be used to create circuit elements that temporarily may store energy and can be used to implement filters, oscillators, memory elements (as in Dynamic RAM), and other critical circuit systems. Capacitance and Inductance may appear in circuits as parasitic effects to be avoided. For example, capacitance appears in the signal lines of digital logic circuits, causing speed limitations and power dissipation that is undesired. MAGNETIC INDUCTION One of the most important discoveries in engineering and science in the 1800’s was the principle of magnetic induction.
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