File:R-c curve.jpg
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[edit]DescriptionR-c curve.jpg |
English: Transfer function of a simple resistor-capacitor filter.
Graph shows the input-output characteristic, | Vout / Vin |, as a function of frequency, W. Also known as the frequency response, or "what you get out of the filter at various frequencies (W)". If W ("omega") is in radians per second, the function is valid for a filter with R = 1 Ohm and C = 1 Farad. Other R and C values scale the frequency linearly, in inverse proportion; that is, doubling R or C will halve W. The graph shows the amplitude response only. There is also phase shift, which is not shown in the graph. The phase shift can be briefly described as follows: At very low frequencies, the output voltage leads the input voltage by 90 degrees; at W=1, it leads by 45 degrees; at very high frequencies there is no phase shift, i.e. the output is in phase with the input. The mathematical formula for the transfer function is: Vout 1 ------ = ------------------- where i is the square root of -1 Vin (( i * W ) + 1 ) The amplitude response (ignoring phase) is the absolute value of the above, or: | Vout | 1 | ----- | = ------------- | Vin | (W2 + 1)^1/2
Schematic diagram of the filterC IN __________| |_________________________ OUT | | | | | | | --- | | | | R | | | | | | --- | | | | ___|___ GND. ___ _ Shematic of two cascaded filters__ C1 | \ C2 | \ IN __________| |____________________________| \ _______________| |____________ _____________ OUT | | | | / | | | | | / | | |__/ | | | | Buffer, | --- gain = 1 --- | | | | | | | | R1 | | R2 | | | | | | | | | | --- --- | | | | | | | | ___|___ ___|___ GND. ___ ___ _ _Using a buffer as shown, R2 can be the same as R1 and C2 the same as C1. Alternatively, omit the buffer and make R2 = R1 * Y and C2 = C1 / Y , where Y is a large number. |
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Author | Communpedia Tribal |
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current | 04:11, 16 October 2021 | ![]() | 753 × 505 (120 KB) | Communpedia Tribal (talk | contribs) | Uploaded own work with UploadWizard |
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