Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Single-term
10th Edition
ISBN: 9781337699266
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 32, Problem 40AP
A series RLC circuit has resonance angular frequency 2.00 × 103 rad/s. When it is operating at some input frequency, XL = 12.0 Ω and XC = 8.00 Ω. (a) Is this input frequency higher than, lower than, or the same as the resonance frequency? Explain how you can tell. (b) Explain whether it is possible to determine the values of both L and C. (c) If it is possible, find L and C. If it is not possible, give a compact expression for the condition that L and C must satisfy.
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Question B3
Consider the following FLRW spacetime:
t2
ds² = -dt² +
(dx²
+ dy²+ dz²),
t2
where t is a constant.
a)
State whether this universe is spatially open, closed or flat.
[2 marks]
b) Determine the Hubble factor H(t), and represent it in a (roughly drawn) plot as a function
of time t, starting at t = 0.
[3 marks]
c) Taking galaxy A to be located at (x, y, z) = (0,0,0), determine the proper distance to galaxy
B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect
to galaxy A.
d) The Friedmann equations are
2
k
8πG
а
4πG
+
a²
(p+3p).
3
a
3
[5 marks]
Use these equations to determine the energy density p(t) and the pressure p(t) for the
FLRW spacetime specified at the top of the page.
[5 marks]
e) Given the result of question B3.d, state whether the FLRW universe in question is (i)
radiation-dominated, (ii) matter-dominated, (iii) cosmological-constant-dominated, or (iv)
none of the previous. Justify your answer.
f)
[5 marks]
A conformally…
SECTION B
Answer ONLY TWO questions in Section B
[Expect to use one single-sided A4 page for each Section-B sub question.]
Question B1
Consider the line element
where w is a constant.
ds²=-dt²+e2wt dx²,
a) Determine the components of the metric and of the inverse metric.
[2 marks]
b) Determine the Christoffel symbols. [See the Appendix of this document.]
[10 marks]
c)
Write down the geodesic equations.
[5 marks]
d) Show that e2wt it is a constant of geodesic motion.
[4 marks]
e)
Solve the geodesic equations for null geodesics.
[4 marks]
Chapter 32 Solutions
Webassign Printed Access Card For Serway/jewett's Physics For Scientists And Engineers, 10th, Single-term
Ch. 32.2 - Consider the voltage phasor in Figure 32.4, shown...Ch. 32.3 - Consider the AC circuit in Figure 32.8. The...Ch. 32.4 - Consider the AC circuit in Figure 32.11. The...Ch. 32.4 - Consider the AC circuit in Figure 32.12. The...Ch. 32.5 - Label each part of Figure 32.16, (a), (b), and...Ch. 32.6 - An AC source drives an RLC circuit with a fixed...Ch. 32.7 - What is the impedance of a series RLC circuit at...Ch. 32 - (a) What is the resistance of a lightbulb that...Ch. 32 - A certain lightbulb is rated at 60.0 W when...Ch. 32 - The current in the circuit shown in Figure P32.3...
Ch. 32 - Figure P32.4 shows three lightbulbs connected to a...Ch. 32 - In the AC circuit shown in Figure P32.3, R = 70.0 ...Ch. 32 - In a purely inductive AC circuit as shown in...Ch. 32 - Prob. 7PCh. 32 - A 20.0-mH inductor is connected to a North...Ch. 32 - An AC source has an output rms voltage of 78.0 V...Ch. 32 - Review. Determine the maximum magnetic flux...Ch. 32 - A 1.00-mF capacitor is connected to a North...Ch. 32 - An AC source with an output rms voltage of 86.0 V...Ch. 32 - What is the maximum current in a 2.20-F capacitor...Ch. 32 - A capacitor C is connected to a power supply that...Ch. 32 - In addition to phasor diagrams showing voltages...Ch. 32 - An AC source with Vmax = 150 V and f = 50.0 Hz is...Ch. 32 - You are working in a factory and have been tasked...Ch. 32 - Prob. 18PCh. 32 - An RLC circuit consists of a 150- resistor, a...Ch. 32 - A 60.0-ft resistor is connected in series with a...Ch. 32 - A series RLC circuit has a resistance of 45.0 and...Ch. 32 - Prob. 22PCh. 32 - A series RLC circuit has a resistance of 22.0 and...Ch. 32 - An AC voltage of the form v = 90.0 sin 350t, where...Ch. 32 - The LC circuit of a radar transmitter oscillates...Ch. 32 - A series RLC circuit has components with the...Ch. 32 - You wish to build a series RLC circuit for a...Ch. 32 - A 10.0- resistor, 10.0-mH inductor, and 100-F...Ch. 32 - A resistor R, inductor L, and capacitor C are...Ch. 32 - The primary coil of a transformer has N1 = 350...Ch. 32 - A person is working near the secondary of a...Ch. 32 - A transmission line that has a resistance per unit...Ch. 32 - Prob. 33APCh. 32 - A 400- resistor, an inductor, and a capacitor are...Ch. 32 - Energy is to be transmitted over a pair of copper...Ch. 32 - Energy is to be transmitted over a pair of copper...Ch. 32 - A transformer may be used to provide maximum power...Ch. 32 - Show that the rms value for the sawtooth voltage...Ch. 32 - Marie Cornu, a physicist at the Polytechnic...Ch. 32 - A series RLC circuit has resonance angular...Ch. 32 - Review. One insulated conductor from a household...Ch. 32 - (a) Sketch a graph of the phase angle for an RLC...Ch. 32 - Prob. 43APCh. 32 - Review. In the circuit shown in Figure P32.44,...Ch. 32 - You have decided to build your own speaker system...Ch. 32 - A series RLC circuit is operating at 2.00 103 Hz....Ch. 32 - You are trying to become a member of the Physics...Ch. 32 - A series RLC circuit in which R = l.00 , L = 1.00...Ch. 32 - The resistor in Figure P32.49 represents the...Ch. 32 - An 80.0- resistor and a 200-mH inductor are...Ch. 32 - Prob. 51CP
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