INC 112 Basic Circuit Analysis

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INC 111 Basic Circuit Analysis Week 3 Nodal Analysis.
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Presentation transcript:

INC 112 Basic Circuit Analysis Week 3 Nodal Analysis

Systematic Methods for Analyzing a Circuit Nodal Analysis Mesh Analysis (Loop analysis)

Node Node = Point that connected together on the same wire Example V 3 nodes

Nodal Analysis Procedure Count the number of nodes = N Choose one of the nodes to be a reference node (0V) when there is no ground Give the voltage for other nodes to be V1, V2, V3, … Use Kirchoff’s current law on each node to form N-1 equations Solve the equations to find V1, V2, V3, …

Example 0V (reference) V1 V2

V1 V2 0V (reference) Equation 1

V1 V2 0V (reference) Equation 2

Solve the Equations V1 V2 V1 = 5 V V2 = 2.5V

Example V1 V2 V3 0V

V1 V2 V3 0V Equation 1

V1 V2 V3 0V Equation 2

V1 V2 V3 0V Equation 3

Solve the Equations

Cramer’s Rule (Optional)

Supernode When there is a voltage source in the circuit, direct KCL cannot be used because we do not know the current in the voltage source. We will use the idea of supernode. Supernode is the method that combines 2 nodes together when using KCL. It will include the voltage source within the circle when using KCL.

Example V1 V2 V3 0V

V3 V1 V2 0V Equation 1

supernode V3 V1 V2 0V Equation 2 Equation 3

V1 = -4.952 V V2 = 14.333 V V3 = 13.333 V

Example 0V V1 V2

Resistor Code

Standard Resistor Value E12 -Standard 1R0 10R 100R 1K0 10K 100K 1M0 10M 1R2 12R 120R 1K2 12K 120K 1M2 n/a 1R5 15R 150R 1K5 15K 150K 1M5 1R8 18R 180R 1K8 18K 180K 1M8 2R2 22R 220R 2K2 22K 220K 2M2 2R7 27R 270R 2K7 27K 270K 2M7 3R3 33R 330R 3K3 33K 330K 3M3 3R9 39R 390R 3K9 39K 390K 3M9 4R7 47R 470R 4K7 47K 470K 4M7 5R6 56R 560R 5K6 56K 560K 5M6 6R8 68R 680R 6K8 68K 680K 6M8 8R2 82R 820R 8K2 82K 820K 8M2

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