EE 100 Su 08 Lecture 4 June 30

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EE 100 Su 08 Lecture #4 (June 30 th 2008) • Outline – Questions?

EE 100 Su 08 Lecture #4 (June 30 th 2008) • Outline – Questions? – Lab notes: • Finish lab 1, will shorten lab 2 and others – Dependent Sources Example – Node-Voltage Analysis • Concept • Examples • Node voltage method with dependent sources EE 100 Summer 2008 Slide 1 Bharathwaj Muthuswamy

EE 100 Summer 2008 Slide 2 Bharathwaj Muthuswamy

EE 100 Summer 2008 Slide 2 Bharathwaj Muthuswamy

EE 100 Summer 2008 Slide 3 Bharathwaj Muthuswamy

EE 100 Summer 2008 Slide 3 Bharathwaj Muthuswamy

EE 100 Summer 2008 Slide 4 Bharathwaj Muthuswamy

EE 100 Summer 2008 Slide 4 Bharathwaj Muthuswamy

EE 100 Summer 2008 Slide 5 Bharathwaj Muthuswamy

EE 100 Summer 2008 Slide 5 Bharathwaj Muthuswamy

EE 100 Summer 2008 Slide 6 Bharathwaj Muthuswamy

EE 100 Summer 2008 Slide 6 Bharathwaj Muthuswamy

EE 100 Summer 2008 Slide 7 Bharathwaj Muthuswamy

EE 100 Summer 2008 Slide 7 Bharathwaj Muthuswamy

Node-Voltage Circuit Analysis Method EE 100 Summer 2008 Slide 8 Bharathwaj Muthuswamy

Node-Voltage Circuit Analysis Method EE 100 Summer 2008 Slide 8 Bharathwaj Muthuswamy

Node-Voltage Circuit Analysis Method 1. Choose a reference node (“ground”) Look for the one

Node-Voltage Circuit Analysis Method 1. Choose a reference node (“ground”) Look for the one with the most connections! 2. Define unknown node voltages those which are not fixed by voltage sources 3. Write KCL at each unknown node, expressing current in terms of the node voltages (using the I-V relationships of branch elements) Special cases: floating voltage sources 4. Solve the set of independent equations N equations for N unknown node voltages EE 100 Summer 2008 Slide 9 Bharathwaj Muthuswamy

Nodal Analysis: Example #1 R 3 R 1 + - V 1 R 2

Nodal Analysis: Example #1 R 3 R 1 + - V 1 R 2 R 4 IS 1. Choose a reference node. 2. Define the node voltages (except reference node and the one set by the voltage source). 3. Apply KCL at the nodes with unknown voltage. 4. Solve for unknown node voltages. EE 100 Summer 2008 Slide 10 Bharathwaj Muthuswamy

Nodal Analysis: Example #1 R 1 + - EE 100 Summer 2008 V 1

Nodal Analysis: Example #1 R 1 + - EE 100 Summer 2008 V 1 R 3 R 2 Slide 11 R 4 IS Bharathwaj Muthuswamy

EE 100 Summer 2008 Slide 12 Bharathwaj Muthuswamy

EE 100 Summer 2008 Slide 12 Bharathwaj Muthuswamy

EE 100 Summer 2008 Slide 13 Bharathwaj Muthuswamy

EE 100 Summer 2008 Slide 13 Bharathwaj Muthuswamy

EE 100 Summer 2008 Slide 14 Bharathwaj Muthuswamy

EE 100 Summer 2008 Slide 14 Bharathwaj Muthuswamy