Variation of parameters in this Diode-Resistor circuit

  • #1
mazeem
1
0
Homework Statement
I have solved the following assignment (attached) but I have no idea if I have done it right or not? Feedback will be appreciated. It is from the Albert Malvino's Electronic Principles and is Fig. 3-25.
For each independent variable increase, determine what will be response of the dependent variables for the following circuit. Use 2nd approximation for diode.


Independent variables: Vs, R1, R2, R3, Vk
Dependent variables: Va, Vb, Vc, I1, I2, I3, P1, P2, P3.
Bonus Marks (3 marks)
Also calculate values of all the dependent variables for a 10% increase in all the independent variables.
Relevant Equations
V=IR,
P=VI
Vk=0.7 V
1700552113151.png
Circuit diagram
 

Attachments

  • Assignment pf.pdf
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  • Solution.pdf
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  • #2
It appears to me that the question is asking for the response of all dependent variables for change in each independent variable (while holding others constant).
Your solution appears to only address the 10% case. In that situation, it looks like you divided by 100k rather than 110k for I3. Also, I believe Vk should also increase by 10%.

I'm not sure if the question is asking, but I think it would be useful to know what values cause the diode to turn off.
 

FAQ: Variation of parameters in this Diode-Resistor circuit

1. What is the purpose of using the variation of parameters method in a diode-resistor circuit?

The variation of parameters method is used to analyze the behavior of the diode-resistor circuit under different conditions and to find a particular solution for the circuit's differential equation. This method helps in understanding how the circuit responds to changes in input signals or component values.

2. How does the variation of parameters method differ from other methods used to analyze diode-resistor circuits?

Unlike other methods that might rely on linear approximations or small-signal models, the variation of parameters method provides a more general solution that can handle non-linear components like diodes. It allows for a more accurate analysis of the circuit's behavior over a wide range of operating conditions.

3. What are the key steps involved in applying the variation of parameters method to a diode-resistor circuit?

The key steps involve: 1) Writing down the differential equation that describes the circuit, 2) Solving the homogeneous part of the differential equation, 3) Using the variation of parameters technique to find a particular solution, and 4) Combining the homogeneous and particular solutions to get the general solution for the circuit's response.

4. How do changes in the resistor value affect the solution obtained using the variation of parameters method?

Changes in the resistor value will affect the time constant of the circuit, which in turn influences the transient and steady-state responses. The variation of parameters method takes these changes into account, providing a new particular solution that reflects the modified behavior due to the altered resistor value.

5. Can the variation of parameters method be used to analyze circuits with multiple diodes and resistors?

Yes, the variation of parameters method can be extended to analyze more complex circuits with multiple diodes and resistors. However, the complexity of the differential equations increases, and solving them may require more advanced mathematical techniques or numerical methods.

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