(COMPLEX) ADMITTANCE.

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Presentation transcript:

(COMPLEX) ADMITTANCE

LEARNING EXTENSION LEARNING EXAMPLE

LEARNING EXAMPLE SERIES-PARALLEL REDUCTIONS

LEARNING EXTENSION

BASIC ANALYSIS USING KIRCHHOFF’S LAWS PROBLEM SOLVING STRATEGY For relatively simple circuits use For more complex circuits use

LEARNING EXAMPLE COMPUTE ALL THE VOLTAGES AND CURRENTS

LEARNING EXTENSION THE PLAN...

ANALYSIS TECHNIQUES PURPOSE: TO REVIEW ALL CIRCUIT ANALYSIS TOOLS DEVELOPED FOR RESISTIVE CIRCUITS; I.E., NODE AND LOOP ANALYSIS, SOURCE SUPERPOSITION, SOURCE TRANSFORMATION, THEVENIN’S AND NORTON’S THEOREMS. 1. NODE ANALYSIS NEXT: LOOP ANALYSIS

2. LOOP ANALYSIS ONE COULD ALSO USE THE SUPERMESH TECHNIQUE SOURCE IS NOT SHARED AND Io IS DEFINED BY ONE LOOP CURRENT NEXT: SOURCE SUPERPOSITION

+ = Circuit with voltage source set to zero (SHORT CIRCUITED) SOURCE SUPERPOSITION = Circuit with current source set to zero(OPEN) + Due to the linearity of the models we must have Principle of Source Superposition The approach will be useful if solving the two circuits is simpler, or more convenient, than solving a circuit with two sources We can have any combination of sources. And we can partition any way we find convenient

3. SOURCE SUPERPOSITION NEXT: SOURCE TRANSFORMATION

THEVENIN’S EQUIVALENCE THEOREM Thevenin Equivalent Circuit for PART A

5. THEVENIN ANALYSIS Voltage Divider NEXT: NORTON

LEARNING EXAMPLE Find the current i(t) in steady state The sources have different frequencies! For phasor analysis MUST use source superposition SOURCE 1: FREQUENCY 10 r/s Frequency domain SOURCE 2: FREQUENCY 20r/s Principle of superposition