Mindtap Electrical, 4 Terms (24 Months) Printed Access Card For Herman's Delmar's Standard Textbook Of Electricity, 6th (mindtap Course List)
6th Edition
ISBN: 9781305634312
Author: Herman, Stephen L.
Publisher: Cengage Learning
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Chapter 26, Problem 5RQ
To determine
The resonant frequency of the parallel LC connection.
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Suppose that X and Y have the following joint probability distribution
2
1 [0.1
y
4
0.151
P(X,Y) = x3 0.2
0.3
50.1 0.15
a) Evaluate the marginal distribution of X and Y.
b) Find P(Y/X) and P(X/Y).
c) Find P(Y=2/X=3).
d) Find μx, μy, σ,σ and oxy.
Prelab Information
Laboratory Preliminary Discussion
Second-order RLC Circuit Analysis
The second-order RLC circuit shown in figure 1 below represents all voltages and impedances as functions of the complex
variable, s. Note, of course, that the impedances associated with R, RL, and Rs are constant independent of frequency, so the 's'
notation is omitted. Again, one of the advantages of s-domain analysis is that we can apply all of the circuit analysis techniques
learned for AC and DC circuits.
ZI(s)
Zc(s)
Rs
w
RL
ww
+
+
VRS(S)
VRL(S)
VL(s)
Vc(s)
VR(S)
R
Vs(s)
Figure 1: A second-order RLC circuit represented in the s-domain.
To generate the s-domain expression for the output voltage, Vout(s) = VR(S), for the circuit shown in figure 1, we can apply voltage
division in the s-domain as shown in equation 1 below. For equation 1 we define the following circuit parameters.
RT=RS + RL + R where: R₁ = Total series resistance
Rs Signal generator output resistance (fixed)
Inductor internal…
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Chapter 26 Solutions
Mindtap Electrical, 4 Terms (24 Months) Printed Access Card For Herman's Delmar's Standard Textbook Of Electricity, 6th (mindtap Course List)
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