BME211HW4 - P4.4-6 Pick a reference node and label the...

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P4.4-6 Pick a reference node and label the unknown node voltages: Express the controlling current of the dependent source in terms of the node voltages: 4 6 a v i = - . Then a b 4 2 3 v v i = = - . Apply KCL at node a: a a a b 12 0 3 6 4 v v v v - - + + = So: a a a a 12 3 0 3 6 4 v v v v - - - + + = ( 29 a a a a a 4 12 2 3 0 4.8 V 3 v v v v v - + + + = = The current in the 12-V voltage source is 12 4.8 7.2 2.4 A 3 3 i - = = = So the power supplied by the voltage source is 12(2.4) = 28.8 W. P4.4-7 Label the node voltages: First, v 2 = 10 V, due to the independent voltage source. Next, express v a and i b , the controlling voltage and current of the dependent sources, in terms of the node voltages: 3 2 3 10 8 8 b v v v i - - = = and a 1 2 1 10 v v v v = - = -
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Next, express i b and 3 v a , the controlled voltages of the dependent sources, in terms of the node voltages: 3 b 1 3 1 3 10 8 8 8 v i v v v v - = - = - and ( 29 a 1 1 1 1 3 3 10 15 V v v v v v = - = = So 3 3 3 10 15 12.5 V v v v - = - = Next a 15 10 5 V v = - = and b 12.5 10 0.3125 A 8 i - = =
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  • Winter '07
  • Cain
  • Mesh Analysis, Resistor, Voltage drop, node voltages

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