MATERIALS SCI.+ENGR.:INTRO.-NEXTGEN
10th Edition
ISBN: 9781119503941
Author: Callister
Publisher: WILEY
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A17)
Using Carson's rule, determine the transmission bandwidth for commercial FM radio broadcasting, provided that the maximum value of frequency deviation is 75 kHz and the bandwidth of the audio signal is 15 kHz
2. Laboratory Preliminary Discussion
First-order High-pass RC Filter Analysis
The first-order high-pass RC filter shown in figure 3 below represents all voltages and currents in the time domain. We will again
convert the circuit to its s-domain equivalent as shown in figure 4 and apply Laplace transform techniques.
ic(t)
C
vs(t)
i₁(t)
+
+
vc(t)
R1
ww
Vi(t)
|| 12(t)
V2(t)
R₂
Vout(t) VR2(t) = V2(t)
Figure 3: A first-order high-pass RC filter represented in the time domain.
Ic(s)
C
+
Vs(s)
I₁(s)
+
+
Vc(s)
R₁
www
V₁(s)
12(s)
V₂(s)
R₂
Vout(S)
=
VR2(S)
= V2(s)
Figure 4: A first-order high-pass RC filter represented in the s-domain.
Again, to generate the s-domain expression for the output voltage, You (S) = V2 (s), for the circuit shown in figure 4 above, we can
apply voltage division in the s-domain as shown in equation 2 below. Equation 2 will be used in the prelab computations to find
an expression for the output voltage, xc(t), in the time domain.
equation (2)
R₂
Vout(s) = V₂(s) =
R₂+…
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