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Unformatted text preview: 1 EE 101A / Winter 10 Handout #5 EE 101A Network Theorems Reference – Hambley, Chapter 2.4 – 2.7 (skip “supernode” “supermesh”) Goal – To simplify circuit analysis 1. Nodal Analysis (discussed in “Resistive Network”) 2. Mesh Analysis To systematically analyze a circuit : a. define mesh current for each mesh b. KCL will be automatically satisfied c. write KVL for all loops, substitute voltages across all elements in terms of mesh currents e. solve all equations Example, KVL Identifying independent mesh equations is complex for a typical circuit with many crossovers. Most signals are in voltage form. Hence, nodal analysis is more commonly used. d c b a d 5 1 2 2 c a 3 c 4 1 b 2 b a 1 c a 3 b a 1 1 i i , i , i , i solve ) i ( R v v D Loop v ) i i ( R ) i ( R C Loop v i R ) i i ( R B Loop ) i i ( R ) i i ( R v A Loop 2 3. Superposition = I = 0 V= 0 + To analyze a circuit with multiple independent sources and LINEAR ELEMENTS: a. for each independent source, form a sub-circuit with all OTHER INDEPENDENT sources set to zero (i.e., replace independent voltage source with short circuit, independent current source with open circuit ), leave dependent source(s) in the sub-circuit...
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- Winter '08
- Thévenin's theorem, Voltage source, Norton's theorem, Current Source, independent sources