Sites:

## LECTURE 31: REVIEW OF NODAL ANALYSIS AND MESH ANALYSIS OF CIRCUITS

The Laplace transform is a very useful tool for analyzing linear time-invariant (LTI) electric circuits. It can be used to solve the differential equation relating an input voltage or current signal to another output signal in the circuit. It can also be used to analyze the circuit directly in the Laplace domain, where circuit components are replaced by their impedances seen as transfer functions.

### REVIEW OF NODAL ANALYSIS AND MESH ANALYSIS OF CIRCUITS

Let us quickly review some of the fundamentals of circuit analysis, such as nodal and mesh analysis based on Kirchhoff' s current and voltage laws.

#### Nodal Analysis

Kirchhoff's Current Law (KCL) states that the sum of all currents entering a node is equal to zero. This law can be used to analyze a circuit by writing the current equations at the nodes (nodal analysis) and solving for the node voltages. Nodal analysis is usually applied when the unknowns are voltages. For a circuit with N nodes and N - 1 unknown node voltages, one needs to solve N - 1 nodal equations.

###### Example 9.1:

Suppose we have the resistor-inductor-capacitor ( RLC) circuit of Figure 9.1 and we want to solve for the voltage across the resistor v( t).

Figure 9.1: RLC circuit with a current source input.

There are three nodes. The bottom one is taken to be the reference node (voltage = 0). We can solve this circuit...

##### Products & Services
Banner and Flag Making Services
Banner and flag making services create custom flags and banners for promotional, educational, and sporting events; advertising and identification purposes; and civic, athletic, religious, and government organizations.
Graphic Design Services
Graphic design service create various forms of visual information for advertisements, web sites, and other publications.
Label Applicators
Label applicators are used to dispense, apply, or print and apply labels to packages.
Label and Nameplate Services
Label and nameplate services design and manufacture labels, tags, nameplates and related products for identification, inventory control, packaging, decoration, and regulatory compliance. Companies produce serial number plates, instruction labels, RFID tags, shipping and packaging labels, company logos, decals, fleet wraps, barcode labels, and other forms of identification for products that require the display of alphanumeric or graphical images.
Label Materials
Label materials are blank or pre-printed film, paper or other backing used for the creation of print and labeling products.

##### Topics of Interest

LECTURE 33: STATE MODELS OF CONTINUOUS-TIME LTI SYSTEMS In Chapter 3 we studied an important class of continuous-time linear time-invariant (LTI) systems defined by linear, causal...

G. ART AND DECORATIVE OBJECTS One of the most important elements in a person's living or working space is artwork. This term includes not only the pictures and photographs on the walls but all of...

Overview Given the amount of information available about how to create good graphics for the web, we expected graphic design to affect the usability of our sites. In fact, we originally thought...

Understanding the Process Approach of ISO 9000:2000 The newest version of the ISO quality standard shifts the focus from the product to the processes behind it. ISO 9001:2000 vs. ISO...

Overview Below we give a brief history of PSL. Our aim is not to give a complete chronicle of the history of temporal logic, nor a full accounting of the history of assertions in hardware design.

Product Announcements
MPI Label Systems
MPI Label Systems
MPI Label Systems