Difference between revisions of "220-A1.2"

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Let <math>Z_1 = R_1 \| \frac{1}{j\omega C_1}</math> and <math>Z_2 = R_2 \| \frac{1}{j\omega C_2}</math>, then the output voltage can be expressed as:
 
Let <math>Z_1 = R_1 \| \frac{1}{j\omega C_1}</math> and <math>Z_2 = R_2 \| \frac{1}{j\omega C_2}</math>, then the output voltage can be expressed as:
  
{{NumBlk|:|<math>v_{out}=\frac{Z_1 Z_2}{Z_1 + Z_2}\cdot v_{in}</math>|{{EquationRef|1}}}}
+
{{NumBlk|::|<math>v_{out}=\frac{Z_2}{Z_1 + Z_2}\cdot v_{in}</math>|{{EquationRef|1}}}}
  
 
== A Lossy LC Tank ==
 
== A Lossy LC Tank ==
  
 
== A Simple Switched-Capacitor Circuit ==
 
== A Simple Switched-Capacitor Circuit ==

Revision as of 10:02, 7 August 2020

  • Activity: Simulating simple RLC circuits
  • At the end of this activity, the student should be able to:
  1. Run DC, AC, and transient simulations using ngspice.

A Wideband RC Voltage Divider

One way to build high-speed circuits with relatively large input impedances and capacitances is to use a simple RC voltage divider, as shown in the figure below. This RC divider is commonly found in oscilloscope 10X probes.

Let and , then the output voltage can be expressed as:

 

 

 

 

(1)

A Lossy LC Tank

A Simple Switched-Capacitor Circuit