240_quiz3b - 2 v 1 2 + v 2 v 3 6 3 = v 3 v 2 6 + v 3 4 v a...

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Name ___________________________ ECE 240 – Quiz #3 February 11, 2010 For the circuit shown above: a. Write the complete set of nodal analysis equations (do not solve) b. Write the complete set of mesh analysis equations (do not solve) a. If we define the node voltages to be v 1 , v 2 , and v 3 as the left middle and right nodes respectively (bottom as ground): v 1 = 6 4 v a = v
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Unformatted text preview: 2 v 1 2 + v 2 v 3 6 3 = v 3 v 2 6 + v 3 4 v a = v 1 v 2 b. If we define the mesh currents i 1 , i 2 , and i 3 , to be the clockwise currents in the top, left and right meshes respectively: i 1 = 3 4 v a = i 3 i 2 6 + 2 i 2 i 1 ( ) + 6 i 3 i 1 ( ) + 4 i 3 = v a = 2 i 2 i 1 ( ) +-!" #$ # ! % ! & ! % ( ) ( +...
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