Week Five: Sinusoidal Steady-State Analysis Part II

Mesh Analysis

          -The mesh current method of analyzing ac requires Kirchhoff's Voltage Law to sum ac voltages around a closed path in terms of the mesh (loops) current variables. The branch impedances are represented by complex numbers, each with a real part and an imaginary part. the real part represents the branch reactance.

Important Notes:

  • Just as in KCL, the KVL analysis also applies to phasor and frequency domain circuits.
  • The same rules apply: Convert to frequency domain first, then apply KVL as usual.
  • In KVL, supermesh analysis is also valid.

Example: Solve for Io:




For another Example, Watch this Video!


Reflection:
        In applying mesh analysis in ac, the process for solving an unknown are still identical. The only difference is that the values given may occur complex numbers and phasor form for sources. Sometimes, I fail to acquire the correct answer because I carelessly convert the values in their wrong convertion or equivalence. For me, I find mesh analysis more convenient than nodal analysis. But of course, it depends on the person employing which method is more suitable for him or her.

Week Four: Sinusoidal Steady-State Analysis Part I

Nodal Analysis

  • Since KCL is valid for phasors, we can analyze AC circuits by NODAL analysis.

  • Practice Problem 10.1: Find v1 and v2 using nodal analysis
Solution:

For more information, Watch an Example!

Reflection:
        The application of nodal analysis in ac is still the same with the method used in dc. The difference between the two is that in ac analysis, it contains complex numbers and phasor forms. I still find it confusing when it comes to conversions. But with enough practice, anyone can attain the expected results.

Wall-E