Parasitic capacitance influence on lead voltage

AI Thread Summary
Parasitic capacitance of approximately 50 pF can significantly affect the voltage readings (V') in an RC circuit, especially when V' changes chaotically rather than in a predictable manner. The resistance of the wire at around 100 ohms suggests that the time constant (τ) could exceed 0.02 seconds, which may impact data accuracy at a reading frequency of 50 Hz. If V' changes in a sine wave pattern, calculations for influence are more straightforward, but arbitrary changes complicate the analysis. To accurately determine the output from such arbitrary inputs, solving the differential equation of the RC circuit is necessary. Understanding these dynamics is crucial for reliable data interpretation.
Marcis Rancans
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V' changes over time. How can I determine the influence from parasitic capacitance (~50 pF) on V?
R wire ~ 100 ohm. If I need to read data (V' can change rapidly) from this at 50hz, does it influence reading accuracy? How can I determine values from which I need to be careful when reading data (when τ=RC>0,02sec ?)

https://lh5.googleusercontent.com/YxtTJvFj8vYphq43bW3FTw0ygk7D0WOJPVmzetsrsRsbclgyXy9ErGz6jA=s300
 
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This will all depend on how V' is changing over time. Is it a sine wave? Then the solution will be relatively straightforward to calculate. If V' changes arbitrarily, it won't be nearly as easy :)
 
rumborak said:
This will all depend on how V' is changing over time. Is it a sine wave? Then the solution will be relatively straightforward to calculate. If V' changes arbitrarily, it won't be nearly as easy :)
V' changes chaotically.
 
The problem is, all the easy tools that exist for analyzing circuitry presume a steady state, or at least a "periodic steady state".
What you have there is a type of RC circuit, and the only way to deduce the output from an arbitrary input is by solving the differential equation of that system.
For more:

http://en.m.wikipedia.org/wiki/RC_circuit
 
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