ee212_2a - EE212PassiveACCircuits LectureNotes2a Circuit...

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EE212 Passive AC Circuits Lecture Notes 2a
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Circuit Analysis When a circuit has more than one element, a circuit analysis is required to determine circuit parameters ( v , i , power, etc.) in different parts of the circuit. Circuit Theories: Ohm’s Law Superposition Theorem Kirchhoff’s Voltage and Current Laws Mesh/Nodal Analysis Source Transformation Thevenin/Norton Theorem Wye/Delta Transformation
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Mesh (Loop)  Analysis ~ I 1 I 2 I 3 Steps: - assume loop current I 1 for Loop 1, I 2 for Loop 2, etc. - apply KVL for each loop - obtain ‘n’ no. of equations for ‘n’ no. of loops - the loop currents are the unknown variables - solve equations to determine loop currents - obtain currents through each circuit elements - apply Ohm’s Law to calculate voltages - use Power equations to calculate P, Q
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Example 1:  Find the power dissipated in the 50   resistor  using Mesh ( Loop) analysis. 50/30   0  V ~ -j50  50  j5  -j100  -j5  j50  ~ + - 50/30   0  V + -
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Mesh (Loop) Analysis Using Matrix Method [ V ] = [ Z ] [ I ] For a circuit with ‘n’ loops, the matrix equation is:  V 1 V 2 .. .. V
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ee212_2a - EE212PassiveACCircuits LectureNotes2a Circuit...

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