Difference between revisions of "220-A1.2"
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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. | 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 <math>Z_1 = R_1 \| \frac{1}{ | + | Let <math>Z_1 = R_1 \| \frac{1}{s C_1} = \frac{R_1}{1 + s R_1 C_1}</math> and similarly <math>Z_2 = \frac{R_2}{1 + s R_2 C_2}</math>. Thus, the output voltage can be expressed as: |
{{NumBlk|::|<math>v_{out}=\frac{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}}}} | ||
Revision as of 10:06, 7 August 2020
- Activity: Simulating simple RLC circuits
- At the end of this activity, the student should be able to:
- 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 similarly . Thus, the output voltage can be expressed as:
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(1)
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