One-pole lowpass rc filter, One-pole lowpass rc filter -10 – National Instruments SCB-68 User Manual

Page 55

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Chapter 5

Adding Components for Special Functions

SCB-68 Shielded Connector Block User Manual

5-10

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Figure 5-10. Response of a Real Filter to a Square Wave Input Signal

One-Pole Lowpass RC Filter

Figure 5-11 shows the transfer function of a simple series circuit consisting
of a resistor (R) and capacitor (C) when the voltage across R is assumed to
be the output voltage (V

m

).

Figure 5-11. Transfer Function of a Simple Series Circuit

The transfer function is a mathematical representation of a one-pole
lowpass filter, with a time constant of

as follows:

(5-3)

Time (t)

Volts (V)

C

R

V

in

V

m

1

2

πRC

---------------

T s

( )

G

1

2

πRC

(

)s

+

-------------------------------

=

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