review1_analysis

review1_analysis - I. CIRCUIT BASICS Electrical quantities...

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I. C IRCUIT B ASICS Electrical quantities Current : dt dq I = [Units: C/s = Amps (A)] Voltage : dq dw V = [Units: J/C = Volts (V)] Power : VI P dt dq dq dw dt dw = = = [Units: J/s = Watts (W)] avg power: = T T dt t V t I P 0 1 ) ( ) ( P = IV > 0: power delivered P = IV < 0: power extracted Primitive circuit elements Voltage Source Current Source ) Resistor – follows Ohm’s Law : IR V = (note polarity ) R = resistance [Units: V/A = Ohms ( )] G = 1/R = conductance [Units: Siemens (S)] Resistor power dissipation: R V R I IV P 2 2 = = = Circuit definitions Node – point where 2 or more circuit elements are connected Series elements – same current flows through all elements Parallel elements – same voltage across all elements II. C IRCUIT A NALYSIS B ASICS KCL (Kirchhoff’s Current Law) Sum of all currents entering a node = 0 Sum of all currents leaving a node = 0 Σ (currents in) = Σ (currents out) KVL (Kirchhoff’s Voltage Law) Sum of voltage drops around a loop = 0 Sum of voltage rises around a loop = 0 Σ (voltage drops) = Σ (voltage rises) Series resistors: Parallel resistors: = = n k k eq R R 1 = = n k k eq R R 1 1 1 2 1 R R R eq + = 2 1 2 1 2 1 || R R R R R R R eq + = = 3 2 1 1 1 1 1 R R R R eq + + =
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Voltage divider Current divider S V R R R V 2 1 2 2 + = S V R R R R V 3 2 1 3 3 + + = S I R R R I 2 1 1 2 + = S I R R R R I 3 2 1 3 3 1 1 1 1 + + = Source combinations (series voltage sources and parallel current sources)
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This note was uploaded on 12/13/2011 for the course EE 110 taught by Professor Gupta during the Fall '08 term at UCLA.

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review1_analysis - I. CIRCUIT BASICS Electrical quantities...

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