Write the transfer function (both magnitude and phase angle) of the RC low-pass filter of Figure 2 above in terms of joo (or s) Determine and record below the cutoff frequencies of the circuit of Figure 2. Ⓒc (calculated) fc (calculated) radians / sec hertz Sketch the straight-line approximations of the frequency responses for the RC low-pass filter on Graph 1 (see later). Figure 3 shows and RL low-pass filter.

Introductory Circuit Analysis (13th Edition)
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ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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The cutoff frequencies for a RC low-pass filter are given as follows:
00
1
2π
2+RC
00 =
1
T
=
1
RC
and fc
For an RL low-pass filter, the cutoff frequencies are: 0.
Transfer function =
V
=
out
V
=
1
T
=
R
L
and f
Frequency response of a filter circuit is given by two graphs:
Voltage gain in dB versus frequency
Phase shift versus frequency.
Voltage gain and phase shift for any frequency are determined by finding the transfer function of the
circuit. Transfer function is the ratio of output voltage phasor to the input voltage phasor.
=
0
2π
R
2+L
Determine the magnitude and the phase angle of the Transfer function as functions of jo. Later you
will see that transfer function are written in terms of s. For the time being consider s=jo.
Transcribed Image Text:The cutoff frequencies for a RC low-pass filter are given as follows: 00 1 2π 2+RC 00 = 1 T = 1 RC and fc For an RL low-pass filter, the cutoff frequencies are: 0. Transfer function = V = out V = 1 T = R L and f Frequency response of a filter circuit is given by two graphs: Voltage gain in dB versus frequency Phase shift versus frequency. Voltage gain and phase shift for any frequency are determined by finding the transfer function of the circuit. Transfer function is the ratio of output voltage phasor to the input voltage phasor. = 0 2π R 2+L Determine the magnitude and the phase angle of the Transfer function as functions of jo. Later you will see that transfer function are written in terms of s. For the time being consider s=jo.
Figure 2 shows an RC low-pass filter
R= 330 ohms
Ⓒc (calculated)
fc (calculated)
C=0.47 uF
+
Vout
Figure 2 RC low-pass filter
1. Write the transfer function (both magnitude and phase angle) of the RC low-pass filter of Figure 2
above in terms of joo (or s)
2. Determine and record below the cutoff frequencies of the circuit of Figure 2.
radians / sec
hertz
3. Sketch the straight-line approximations of the frequency responses for the RC low-pass filter on
Graph 1 (see later). Figure 3 shows and RL low-pass filter.
Transcribed Image Text:Figure 2 shows an RC low-pass filter R= 330 ohms Ⓒc (calculated) fc (calculated) C=0.47 uF + Vout Figure 2 RC low-pass filter 1. Write the transfer function (both magnitude and phase angle) of the RC low-pass filter of Figure 2 above in terms of joo (or s) 2. Determine and record below the cutoff frequencies of the circuit of Figure 2. radians / sec hertz 3. Sketch the straight-line approximations of the frequency responses for the RC low-pass filter on Graph 1 (see later). Figure 3 shows and RL low-pass filter.
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