Fundamentals of Physics Extended
10th Edition
ISBN: 9781118230725
Author: David Halliday, Robert Resnick, Jearl Walker
Publisher: Wiley, John & Sons, Incorporated
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Textbook Question
Chapter 31, Problem 4P
What is the capacitance of an oscillating LC circuit if the maximum charge on the capacitor is 1.60 µC and the total energy is 140 µJ?
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Question B3
Consider the following FLRW spacetime:
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where t is a constant.
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+
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(p+3p).
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[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.
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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,
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[2 marks]
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[10 marks]
c)
Write down the geodesic equations.
[5 marks]
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[4 marks]
e)
Solve the geodesic equations for null geodesics.
[4 marks]
Page 2
SECTION A
Answer ALL questions in Section A
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Consider Minkowski spacetime in Cartesian coordinates th
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ds² = dt² + dx² + dy² + dz².
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Write down the line element, the metric, the Christoffel symbols and the Riemann curvature
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[5 marks]
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Chapter 31 Solutions
Fundamentals of Physics Extended
Ch. 31 - Figure 31-19 shows three oscillating LC circuits...Ch. 31 - Figure 31-20 shows graphs of capacitor voltage vc...Ch. 31 - Prob. 3QCh. 31 - What values of phase constant in Eq. 31-12 allow...Ch. 31 - Curve a in Fig. 31-21 gives the impedance Z of a...Ch. 31 - Prob. 6QCh. 31 - Prob. 7QCh. 31 - The values of the phase constant for four...Ch. 31 - Prob. 9QCh. 31 - Figure 31-24 shows three situations like those of...
Ch. 31 - Prob. 11QCh. 31 - Figure 31-25 shows the current i and driving emf ...Ch. 31 - Prob. 13QCh. 31 - An oscillating LC circuit consists of a 75.0 mH...Ch. 31 - The frequency of oscillation of a certain LC...Ch. 31 - In a certain oscillating LC circuit, the total...Ch. 31 - What is the capacitance of an oscillating LC...Ch. 31 - In an oscillating LC circuit, L = 1.10 mH and C =...Ch. 31 - A 0.50 kg body oscillates in SHM on a spring that,...Ch. 31 - SSM The energy in an oscillating LC circuit...Ch. 31 - A single loop consists of inductors L1, L2, . . ....Ch. 31 - ILW In an oscillating LC circuit with L = 50 mH...Ch. 31 - Prob. 10PCh. 31 - SSM WWW A variable capacitor with a range from 10...Ch. 31 - In an oscillating LC circuit, when 75.0 of the...Ch. 31 - In an oscillating LC circuit, L = 3.00 mH and C =...Ch. 31 - To construct an oscillating LC system, you can...Ch. 31 - ILW An oscillating LC circuit consisting of a 1.0...Ch. 31 - An inductor is connected across a capacitor whose...Ch. 31 - Prob. 17PCh. 31 - Prob. 18PCh. 31 - Using the loop rule, derive the differential...Ch. 31 - GO In an oscillating LC circuit in which C = 4.00...Ch. 31 - Prob. 21PCh. 31 - A series circuit containing inductance L1 and...Ch. 31 - GO In an oscillating LC circuit, L = 25.0 mH and C...Ch. 31 - Prob. 24PCh. 31 - Prob. 25PCh. 31 - GO In an oscillating series RLC circuit, find the...Ch. 31 - SSM In an oscillating series RLC circuit, show...Ch. 31 - A 1.50 F capacitor is connected as in Fig. 31-10...Ch. 31 - ILW A 50.0 mH inductor is connected as in Fig....Ch. 31 - A 50.0 resistor is connected as in Fig. 31-8 to...Ch. 31 - a At what frequency would a 6.0 mH inductor and a...Ch. 31 - GO An ac generator has emf = m sin dt, with m =...Ch. 31 - SSM An ac generator has emf = m sindt = /4, where...Ch. 31 - GO An ac generator with emf = m sin dt, where m =...Ch. 31 - ILW A coil of inductance 88 mH and unknown...Ch. 31 - An alternating source with a variable frequency, a...Ch. 31 - An electric motor has an effective resistance of...Ch. 31 - The current amplitude I versus driving angular...Ch. 31 - Remove the inductor from the circuit in Fig. 31-7...Ch. 31 - An alternating source drives a series RLC circuit...Ch. 31 - Prob. 41PCh. 31 - An alternating source with a variable frequency,...Ch. 31 - Prob. 43PCh. 31 - GO An ac generator with emf amplitude m = 220 V...Ch. 31 - GO ILW a In an RLC circuit, can the amplitude of...Ch. 31 - GO An alternating emf source with a variable...Ch. 31 - SSM WWW An RLC circuit such as that of Fig. 31-7...Ch. 31 - Prob. 48PCh. 31 - GO In Fig. 31-33, a generator with an adjustable...Ch. 31 - An alternating emf source with a variable...Ch. 31 - SSM The fractional half-width d of a resonance...Ch. 31 - An ac voltmeter with large impedance is connected...Ch. 31 - SSM An air conditioner connected to a 120 V rms ac...Ch. 31 - What is the maximum value of an ac voltage whose...Ch. 31 - What direct current will produce the same amount...Ch. 31 - Prob. 56PCh. 31 - Prob. 57PCh. 31 - For Fig. 31 -35, show that the average rate at...Ch. 31 - GO In Fig. 31-7, R = 15.0 , C = 4.70 F, and L =...Ch. 31 - Prob. 60PCh. 31 - SSM WWW Figure 31-36 shows an ac generator...Ch. 31 - Prob. 62PCh. 31 - SSM ILW A transformer has 500 primary turns and 10...Ch. 31 - Prob. 64PCh. 31 - An ac generator provides emf to a resistive load...Ch. 31 - In Fig. 31-35, let the rectangular box on the left...Ch. 31 - GO An ac generator produces emf = m sindt /4,...Ch. 31 - A series RLC circuit is driven by a generator at a...Ch. 31 - A generator of frequency 3000 Hz drives a series...Ch. 31 - A 45.0 mH inductor has a reactance of 1.30 k. a...Ch. 31 - An RLC circuit is driven by a generator with an...Ch. 31 - A series RLC circuit is driven in such a way that...Ch. 31 - A capacitor of capacitance 158 f and an inductor...Ch. 31 - An oscillating LC circuit has an inductance of...Ch. 31 - For a certain driven series RLC circuit, the...Ch. 31 - A L5D F capacitor has a capacitive re ac lance of...Ch. 31 - Prob. 77PCh. 31 - An electric motor connected to a 120 V, 60.0 Hz ac...Ch. 31 - SSM a In an oscillating LC circuit in terms of the...Ch. 31 - A series RLC circuit is driven by an alternating...Ch. 31 - SSM In a certain series RLC circuit being driven...Ch. 31 - A 1.50 mH inductor in an oscillating LC circuit...Ch. 31 - A generator with an adjustable frequency of...Ch. 31 - A series RLC circuit has a resonant frequency of...Ch. 31 - SSM An LC circuit oscillates at a frequency of...Ch. 31 - When under load and operating at an rms voltage of...Ch. 31 - The ac generator in Fig. 31-39 supplies 120 V at...Ch. 31 - In an oscillating LC circuit, L = 8.00 mH and C =...Ch. 31 - Prob. 89PCh. 31 - What capacitance would you connect across a 1.30...Ch. 31 - A series circuit with resistor inductor ...Ch. 31 - Prob. 92PCh. 31 - When the generator emf in Sample Problem 31.07 is...
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