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Unformatted text preview: AE 383 SYSTEM DYNAMICS Lecture Notes 4 (June 29 th 2006) Electrical Systems Basic Elements: • Resistance elements • Capacitance elements • Inductance elements Resistance of a linear resistor is i e R R = (ohm’s law) e R is the voltage across the resistor i is the current through the resistor Unit is ohm ( Ω ) ohm = volt / ampere Resistors dissipate energy as heat. The sinusoidal transfer function of the resistor element is And the the frequency response of the resistor is Capacitance elements: Two conductors separated by a non conducting medium form a capacitor. Capacitance C is a measure of the quantity of charge that can be stored for a given voltage across the conductors. c e q C = q : quantity of charge stored e c : voltage across Unit is farad (F) farad = coulomb / volt Since dt dq i = and e c = q / C idt C de dt de C i c c 1 or = = Therefore ) ( 1 ) ( c t c e idt C t e + = ∫ Unit is farad (F) There are losses in a real capacitors....
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This note was uploaded on 10/24/2011 for the course AEE 463 taught by Professor Melin during the Spring '11 term at Middle East Technical University.
- Spring '11