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Fall04_hw2 - the entire circuit b What is the power on V2...

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Homework 2: due Tuesday (Sept. 20) ENEE204 (Gomez) 1. Circuit branches, nodes and meshes. Consider the horrible looking circuit 1. a. Identify all 11 branches using notation: i X , denoting the current on element X. b. How many nodes are there? How many are trivial nodes? c. There are 6 meshes, identify the components for each one. 2. Identifying number of unknowns and number of equations needed. For circuits 2 &3 and ignoring the values, identify the number of unknowns, the number of independent KCL equations, the number of independent KVL equations and the number of terminal relations. The number of unknowns should match the number of independent equations. 3. Solving circuit equations involving resistors. Consider Circuit 2 and now consider the given values. Using your knowledge of KVL,KCL and terminal relations, solve for the currents and voltages on all the circuit elements. 4. More resistive circuit problems. a. What is the current flowing on R1 on Circuit 4? Hint: Just as easy to solve
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Unformatted text preview: the entire circuit. b. What is the power on V2 on Circuit 4, is it gaining or losing power? c. Now invert the polarity of V3, what is the current flowing on V2 ? 5. Some more resistive circuit problems. Circuit 5 is just circuit 4 with V3 replaced by a 2 mA current source pointing upwards . Find the currents and voltages on all components. 6. Circuit equations for capacitive and resistive elements. Using KVL,KCL and terminal relations in Figure 6A , show that the differential equation for the voltage on the capacitor is given by C R t v v C R C R dt dv s c c 1 2 1 ) ( 1 1 = + + 7. Circuit equations for capacitive and inductive elements. Using KVL,KCL and terminal relations in Figure 6B , show that the differential equation for the voltage on the capacitor is given by ) ( 2 2 t v v dt dv R L dt v d LC s c c c = + + Circuit 1. Circuit 2. Circuit 3. Circuit 4. Circuit 5. Circuit 6. (A: LEFT), and (B:RIGHT)...
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