Difference between revisions of "229-A1.2"

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{{NumBlk|::|<math>X_1^\prime = R_L Q = 25\mathrm{\Omega}</math>|{{EquationRef|4}}}}
 
{{NumBlk|::|<math>X_1^\prime = R_L Q = 25\mathrm{\Omega}</math>|{{EquationRef|4}}}}
  
* If we want a lowpass matching circuit, we need to use a capacitor for <math>X_1</math>, and an inductor for <math>X_1^\prime</math>. We can then calculate the capacitor and inductor values.
+
* If we want a lowpass matching circuit, we need to use a capacitor for <math>X_1</math>, and an inductor for <math>X_1^\prime</math>. We can then calculate the capacitor and inductor values for <math>f_0 = 5\mathrm{GHz}</math>.
  
 
{{NumBlk|::|<math>C = \frac{1}{\omega X_1} = \frac{1}{2\pi f_0 X_1} = 636.52 \mathrm{fF}</math>|{{EquationRef|5}}}}
 
{{NumBlk|::|<math>C = \frac{1}{\omega X_1} = \frac{1}{2\pi f_0 X_1} = 636.52 \mathrm{fF}</math>|{{EquationRef|5}}}}
  
 
{{NumBlk|::|<math>L = \frac{X_1^\prime}{\omega} = \frac{X_1^\prime}{2\pi f_0} = 795.77 \mathrm{pH}</math>|{{EquationRef|6}}}}
 
{{NumBlk|::|<math>L = \frac{X_1^\prime}{\omega} = \frac{X_1^\prime}{2\pi f_0} = 795.77 \mathrm{pH}</math>|{{EquationRef|6}}}}
 +
 +
We can then create a SPICE netlist so we can verify the performance of our matching network.
  
 
== Case 2: <math>R_S < R_L</math> ==
 
== Case 2: <math>R_S < R_L</math> ==

Revision as of 12:42, 6 September 2020

  • Activity: Passive Matching Networks
  • Instructions: Each activity is structured as a tutorial, and you are expected to download the netlists, run the simulation, and make sure you understand the concepts and ideas presented. Should you have any questions, clarifications, or issues, please contact your instructor as soon as possible.
  • At the end of this activity, the student should be able to:
  1. Design and verify the performance of passive impedance matching circuits using ngspice.

Case 1:

Let's design a single L-section circuit between a voltage source with output resistance, and an amplifier with input resistance, .

  • Calculate the matching factor, ,and the quality factor, .

 

 

 

 

(1)

 

 

 

 

(2)

  • Calculate the value of the reactance parallel to the larger resistance. In this case, the larger resistance is .

 

 

 

 

(3)

  • Calculate the second reactance, , used to cancel .

 

 

 

 

(4)

  • If we want a lowpass matching circuit, we need to use a capacitor for , and an inductor for . We can then calculate the capacitor and inductor values for .

 

 

 

 

(5)

 

 

 

 

(6)

We can then create a SPICE netlist so we can verify the performance of our matching network.

Case 2:

Case 3: with High-Q

Case 4: with High-Q

Case 5: with Optimally Low-Q

End of Activity