5.1.6. Iterative Procedure

So, typically this non-linear iterative method to find the numerical values may be used for a computer, using computer programs or circuit simulator, but for hand analysis that maybe bit clumsy particularly when the circuit it grows and then we need some practical method and we need some working model of diode which can be used to solve the circuit equations to find a reasonably accurate solution.

The iterative procedure is a method used to find numerical solutions for non-linear circuits, particularly when using computers or circuit simulators. In hand calculations, this method can become complex, especially with larger circuits. Hence, simpler methods or models, such as those that represent diode behavior, are essential for effectively managing these circuit equations.

Think of solving a puzzle. When using a computer, you might have a program that quickly finds the solution, but when doing it by hand, especially with a large puzzle, you might find it easier to solve smaller sections first or use reference images. Similarly, breaking down the circuit into manageable parts helps to understand and solve the equations more effectively.

And that diode models the working model it today we will see that how it can be deployed for different examples and finally, will be giving a notion something called small signal equivalent circuit. So, small signal equivalent circuit not only it is applicable for diode or a simple non-linear circuit, it is also applicable conceptually for any other non-linear circuit.

Diode models help in representing how a diode behaves within a circuit. These models simplify the analysis of circuits involving diodes and can be applied to various non-linear circuits as well. Additionally, the concept of a small signal equivalent circuit allows engineers to linearize these non-linear systems to simplify their study and analysis.

Consider using a map to navigate a city. A map simplifies real-world geography, just as diode models simplify the complexities of electrical circuits. Small signal equivalent circuits are like zooming in on specific parts of that map to understand how streets connect when looking for the quickest route.

So, while we will be solving this circuit to get the final value of V and the currents out and all we need to as I said we need to respect KCL, KVL and then resistor characteristic and then diode characteristic.

To solve the circuit, we must ensure that we adhere to Kirchhoff's Current Law (KCL) and Kirchhoff's Voltage Law (KVL), while also considering the characteristics of the resistor and the diode. This means that the current values and voltage drops across components must satisfy these laws at every iteration of our calculations in the iterative process.

Imagine you're constructing a bridge where each part must support the load appropriately. KCL and KVL are like the engineering principles that ensure the bridge stands strong; if any part (like a resistor or diode) fails to meet these requirements during our analysis, the whole structure (circuit) could fail.

So, we can say that this is nothing, but VR or V in, because at this point when V = 0, V and V are becoming equal.

In the iterative procedure, we start with an initial guess for voltage and then refine this guess in each subsequent iteration to approach a more accurate value. For example, when we assert that V=0, we find that certain relationships among voltages lead to updated values, showing how our guess and adjustments impact the final solution.

Think about trying to hit a target in a dart game. Your first throw might miss, but you adjust your aim based on where the dart landed. With each throw (iteration), you refine your aim, getting closer to the bullseye. Similarly, with each iteration, we adjust our voltage guess to get closer to the correct value.

So, my suggestion would be please doing it yourself and verify it with the answer given on the next page.

This part emphasizes practicing the numerical example outlined in the section to see the results firsthand. By carrying out the calculations, students can verify the accuracy of their procedures and ensure that the iterative process indeed leads to convergence - that is, approaching a consistent and correct solution.

Imagine you're preparing a recipe and tasting as you go. The more you practice making the dish, adjusting the ingredients to suit your flavor preferences, the better you get at making it just right. Similarly, through iterative calculations, students can refine their understanding and approaches to achieve correct answers.

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