Refining and Optimizing Analytical Models
This section gives an example of how the model developed earlier could be extended to account for additional knowledge of the system's structure. Again, if you have not yet been exposed to this particular type of mathematical analysis, simply note that all models can be refined as we gain more knowledge about the system. Think back to the model you identified in the last section. How could you extend this model to make it a better reflection of reality?
Practice problem (Clock!)
Problem
Building a clock for a computer
In the previous section we wanted to build a base clock for a computer, an LC-oscillator that generates 100MHz oscillations. Using Euler’s method you have found an approximate value for the capacitance of the capacitor. And after that, the value of the resistance was changed, yielding other types of solutions.
In this module, you do the same calculations, not numerically, but analytically. This will give you more insight in oscillating solutions.