Assignment1-Solution.pdf

Assignment1-Solution.pdf - Curtin University of Technology...

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Curtin University of Technology School of Electrical and Computer Engineering Electrical Systems 100 Assignment 1 (Solution) _____________________________________________________________________ PROBLEM #1 Use the Mesh analysis to find v 0 and power absorbed by the 20 resistor in the circuit of Figure 1. Figure 1 Solution: At the 10 Resistor we have: W v P V v i v A i v i i loop for KVL V v v v in C C C C C C C C C 8 . 28 20 24 20 24 ) 10 * 4 . 0 8 . 2 ( 20 ) 4 . 0 ( 20 8 . 2 0 ) 4 . 0 ( 20 5 10 : 1 10 ) 4 . 0 5 ( 10 2 2 0 20 0 = = = = + - = + = - = = + + + - = - = ____________________________________________________________________ PROBLEM #2 In the circuit shown in Figure 2: a) Use nodal analysis to find V1, V2 b) Calculate the power dissipated by each resistor c) Calculate the power delivered/absorbed by each voltage source d) Verify that the total power delivered is equal to the total power dissipated
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Figure 2 Solution: a) KCL at N 1 (super-node is used to find the current in the dependent source branch i.e we will get this current by applying KCL at the next node N 2 ) : ) 1 ( 6 0 12 6 6 6 6 12 1 1 1 = + = - + + - + X X X V V V V V V At the independent source we have: V V V V and solving V V V V V X X X X 5 . 1 5 . 4 : ) 2 ( ) 1 ( ) 2 ( 3 2 1 1 1 = = = = -
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