Week 3: Basic Laws and Methods of Analysis | Wye-Delta Transformation and Nodal Analysis

In addition to previous techniques to solve resistive circuits, now we shall discuss some techniques commonly applied in circuit design and analysis: delta-to-wye and wye-to-delta transformations. 

Having understood the fundamental laws of circuit theory (Ohm’s law and Kirchhoff’s laws), we are now prepared to apply these two laws to develop two powerful techniques for circuit analysis: nodal analysis, which is based on a systematic application of Kirchhoff’s current law (KCL), and mesh analysis, which is based on a systematic application of Kirchhoff’s voltage law (KVL).

With the two techniques to be developed, we can analyze any linear circuit by obtaining a set of simultaneous equations that are then solved to obtain the required values of current or voltage. One method of solving simultaneous equations involves Cramer’s rule, which allows us to calculate circuit variables as a quotient of determinants.

Video Links:

  1. https://www.youtube.com/watch?v=OV0qi7yzKAM&list=PLwjK_iyK4LLBN9RIDQfl9YB4caBYyD_uo&index=11&t=0s
  2. https://www.youtube.com/watch?v=9b17eqCT4-g&list=PLwjK_iyK4LLBN9RIDQfl9YB4caBYyD_uo&index=12&t=0s
  3. https://www.youtube.com/watch?v=iIswDPKSQT4&list=PLwjK_iyK4LLBN9RIDQfl9YB4caBYyD_uo&index=13&t=0s

Download Files

chapter-2-3-ydelta-and-nodal.pdf (0.74 MB )