ECE201Lect-9

# ECE201Lect-9 - Nodal Analysis (3.1) ECE201 Lect-9 1...

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ECE201 Lect-9 1 Nodal Analysis (3.1)

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ECE201 Lect-9 2 Example: A Summing Circuit The output voltage V of this circuit is proportional to the sum of the two input currents I 1 and I 2 . This circuit could be useful in audio applications or in instrumentation. The output of this circuit would probably be connected to an amplifier.
ECE201 Lect-9 3 + V 500 500 1k 500 500 I 1 I 2 Summing Circuit Solution: V = 167 I 1 + 167 I 2

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ECE201 Lect-9 4 Can you analyze this circuit using the techniques of Chapter 2?
ECE201 Lect-9 5 Not This One! There are no series or parallel resistors to combine. We do not have a single loop or a double node circuit. We need a more powerful analysis technique: Nodal Analysis

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ECE201 Lect-9 6 Why Nodal or Loop Analysis? The analysis techniques in Chapter 2 (voltage divider, equivalent resistance, etc.) provide an intuitive approach to analyzing circuits. They cannot analyze all circuits. They cannot be easily automated by a computer.
ECE201 Lect-9 7 Node and Loop Analysis Node analysis and loop analysis are both circuit analysis methods which are systematic and apply to most circuits. Analysis of circuits using node or loop

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## ECE201Lect-9 - Nodal Analysis (3.1) ECE201 Lect-9 1...

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