lect8.pdf

# M1 cw mesh currentspotential increases positive v 1 r

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M1: CW mesh currents/potential increases positive V 1 - R 1 i 1 - R 3 (i 1 -i 2 ) = 0 CW mesh currents/potential drops positive -V 1 + R 1 i 1 + R 3 (i 1 -i 2 ) = 0 M2: CW mesh currents/potential increases positive -V 2 - R 3 (i 2 -i 1 ) - R 2 i 2 = 0 Carefully adhere to voltage sign convention you select! CW mesh 1/ CCW mesh 2/potential incr positive Mesh 1: V 1 - R 1 i 1 - R 3 (i 1 +i 2 ) = 0 Mesh 2: V 2 - R 2 i 2 - R 3 (i 2 +i 1 ) = 0

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EE201 Lecture 8 P. 10 Mesh Analysis - guidelines 1) Draw a clear circuit diagram indicating meshes. 2) Assign a current to each mesh. For n meshes, there will be n equations. 3) Choose sign convention. 4) Apply KVL around each mesh (If dependent voltage source present, relate controlling variable to the mesh current). 5) If circuit contains independent or dependent current sources, apply KVL to a ‘supermesh’ to bypass the current source. Relate currents through sources to the assigned mesh currents. 6) Do not define any voltage variables.
EE201 Lecture 8 P. 11 Example : Solve by mesh analysis. _ + 5 W 1 W 3 W 2 W 4 W _ + 5V 3A 10V 3 meshes for KVL, but the mesh equations for meshes 2 and 3 contain a current source. Therefore, define supermesh (or loop) that contains 2 and 3.

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EE201 Lecture 8 P. 12 Solution : Use KVL to obtain equations.
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• Fall '08
• ALL
• Mesh Analysis, Voltage drop, EE201

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