EEE 302 Electrical Networks II

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# EEE 302 Electrical Networks II - PowerPoint PPT Presentation

EEE 302 Electrical Networks II. Dr. Keith E. Holbert Summer 2001. Circuit Analysis Techniques. While Obeying Passive Sign Convention Ohm’s Law; KCL; KVL Voltage and Current Division Series/Parallel Impedance combinations. Kirchoff’s Current Law ( KCL ). i 1 (t). i 5 (t).

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### EEE 302Electrical Networks II

Dr. Keith E. Holbert

Summer 2001

Lecture 2

Circuit Analysis Techniques
• While Obeying Passive Sign Convention
• Ohm’s Law; KCL; KVL
• Voltage and Current Division
• Series/Parallel Impedance combinations

Lecture 2

Kirchoff’s Current Law (KCL)

i1(t)

i5(t)

The sum of currents entering the node is zero:

Analogy: mass flow at pipe junction

i2(t)

i4(t)

i3(t)

Lecture 2

+

-

+

v(t)2

+

v(t)1

v(t)3

-

-

Kirchoff’s Voltage Law (KVL)
• The sum of voltages around a loop is zero:
• Analogy: pressure drop thru pipe loop

Lecture 2

In General: Voltage Division

Consider N impedances in series:

Source voltage(s) are divided between the resistors in direct proportion to their resistances

Lecture 2

In General: Current Division

Consider N impedances in parallel:

Special Case (2 resistors in parallel)

Lecture 2

Class Example

• Extension Exercise E8.12

Lecture 2

Steps of Nodal Analysis

1. Choose a reference node.

2. Assign node voltages to the other nodes.

3. Apply KCL to each node other than the reference node; express currents in terms of node voltages.

4. Solve the resulting system of linear equations.

Lecture 2

Class Example

• Extension Exercise E8.13

Lecture 2

Steps of Mesh/Loop Analysis

1. Identify mesh (loops).

2. Assign a current to each mesh.

3. Apply KVL around each loop to get an equation in terms of the loop currents.

4. Solve the resulting system of linear equations.

Lecture 2

Class Example

• Extension Exercise E8.14

Lecture 2

Nodal Analysis Recipe

1&2) Identify and label N nodal voltages plus the ground node (V=0)

3) Apply KCL at N nodes (supernode makes constraint eq.)

4) Solve for the nodal voltages

Loop Analysis Recipe

1&2) Identify and label N mesh currents

3) Apply KVL at the N meshes

4) Solve for the mesh currents

Nodal and Loop Analyses

Lecture 2