Lecture18 - Chapter 4

# Therefore when writing the equations wewill continue

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write one equation, not for the whole solution. Therefore, when writing the equations wewill continue to use each mesh’s current for their respective branches. However, it will help us write ONE of the required equations directly. For other equations we might still need the current source in place. MCA – Special Case 2 – Super Mesh

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MCA – Special Case 2 – Super Mesh
0 ) ( 2 10 ) ( 3 = - + + - c b b a b i i i i i Loop b: 0 6 4 50 ) ( 2 ) ( 3 100 = + + + - + - + - a c b c b a i i i i i i Loop a/c: 0 6 5 9 50 = + - + - c b a i i i MCA – Special Case 2 – Super Mesh We also have the constraint: 5 = - a c i i Constraint Equation

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0 6 ) ( 3 100 = + + - + - a b a i v i i Loop a: 0 ) ( 2 10 ) ( 3 = - + + - c b b a b i i i i i Loop b: 0 4 50 ) ( 2 = - + + - v i i i c b c Loop c: Eliminate v from loop a and loop c eqns: 0 6 5 9 50 = + - + - c b a i i i MCA – Special Case 2 – Super Mesh This shortcut method saved us time and energy! Which is what we got earlier.
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