College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 23, Problem 56PE
If two coils placed next to one another have a mutual inductance at 5.00 mH, what voltage is induced in one when the 2.00 A current in the other is switched off in 30.0 ms?
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
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]
Page 2
SECTION A
Answer ALL questions in Section A
[Expect to use one single-sided A4 page for each Section-A sub question.]
Question A1
SPA6308 (2024)
Consider Minkowski spacetime in Cartesian coordinates th
=
(t, x, y, z), such that
ds² = dt² + dx² + dy² + dz².
(a) Consider the vector with components V" = (1,-1,0,0). Determine V and V. V.
(b) Consider now the coordinate system x' (u, v, y, z) such that
u =t-x,
v=t+x.
[2 marks]
Write down the line element, the metric, the Christoffel symbols and the Riemann curvature
tensor in the new coordinates. [See the Appendix of this document.]
[5 marks]
(c) Determine V", that is, write the object in question A1.a in the coordinate system x'. Verify
explicitly that V. V is invariant under the coordinate transformation.
Question A2
[5 marks]
Suppose that A, is a covector field, and consider the object
Fv=AAμ.
(a) Show explicitly that F is a tensor, that is, show that it transforms appropriately under a
coordinate transformation.
[5 marks]
(b)…
Chapter 23 Solutions
College Physics
Ch. 23 - How do the multiple-loop coils and iron ring in...Ch. 23 - When a magnet is thrust into a coil as in Figure...Ch. 23 - Explain how magnetic flux can be zero when the...Ch. 23 - Is an emf induced in the coil in Figure 23.54 when...Ch. 23 - A person who works with large magnets sometimes...Ch. 23 - A particle accelerator sends highvelocity charged...Ch. 23 - Why must pan of the circuit be moving relative to...Ch. 23 - A powerful induction cannon can be made by placing...Ch. 23 - An induction slave heats a pot with a coil...Ch. 23 - Explain how you could thaw out a frozen water pipe...
Ch. 23 - Explain why magnetic damping might not be...Ch. 23 - Explain how electromagnetic induction can be used...Ch. 23 - Using RHR-l, show that the emfs in the sides of...Ch. 23 - The source of a generator’s electrical energy...Ch. 23 - Suppose you find that the belt drive connecting a...Ch. 23 - Explain what causes physical vibrations in...Ch. 23 - Does plastic insulation on live/hot wires prevent...Ch. 23 - Why are ordinary circuit breakers and fuses...Ch. 23 - A GFI may trip just because the live/hot and...Ch. 23 - How would you place two identical flat coils in...Ch. 23 - How would you shape a given length of wire to give...Ch. 23 - €22. Verify, as was concluded without proof in...Ch. 23 - Presbycusis is a hearing loss due to age that...Ch. 23 - Would you use a large inductance or a large...Ch. 23 - High-frequency noise in AC power can damage...Ch. 23 - Does inductance depend on current, frequency, or...Ch. 23 - Explain why the capacitor in Figure 23.55(a) acts...Ch. 23 - If the capacitors in Figure 23.55 are replaced by...Ch. 23 - Does the resonant frequency of an AC circuit...Ch. 23 - Suppose you have a motor with a power factor...Ch. 23 - What is the value of the magnetic flux at coil 2...Ch. 23 - What is the value of the magnetic flux through the...Ch. 23 - Referring to Figure 23.5?(a), what is the...Ch. 23 - Referring to Figure 23.57(b), what is the...Ch. 23 - Referring to Figure 23.58, what are the directions...Ch. 23 - Repeat the previous problem with the battery...Ch. 23 - Verify that the units /t are volts. That is, show...Ch. 23 - Suppose a 50-turn coil lies in the plane of the...Ch. 23 - (a) An MRI technician moves his hand from a region...Ch. 23 - Integrated Concepts Referring to the situation in...Ch. 23 - An emf is induced by rotating a 1000-turn, 20.0 cm...Ch. 23 - A 0.250 m radius, 500-turn coil is rotated...Ch. 23 - Integrated Concepts Approximately how does the emf...Ch. 23 - Integrated Concepts A lightning bolt produces a...Ch. 23 - Use Faraday’s law, Lenz’s law, and RHR—l to show...Ch. 23 - If a current flows in the Satellite Tether shown...Ch. 23 - (a) A jet airplane with a 75.0 m wingspan is...Ch. 23 - (a) A nonferrous screwdriver is being used in a...Ch. 23 - At what speed must the sliding rod in Figure 23.11...Ch. 23 - The 12.0 cm long rod in Figure 23.11 moves at 4.00...Ch. 23 - Prove that when B, l, and v are not mutually...Ch. 23 - In the August 1992 space shuttle flight, only 250...Ch. 23 - Integrated Concepts Derive an expression for the...Ch. 23 - Integrated Concepts The Tethered Satellite in...Ch. 23 - Integrated Concepts The Tethered Satellite...Ch. 23 - Make a drawing similar to Figure 23.14, but with...Ch. 23 - Figure 23.59 A coil is moved into and out of a...Ch. 23 - Calculate the peak voltage of a generator that...Ch. 23 - At what angular velocity in rpm will the peak...Ch. 23 - What is the peak emf generated by rotating a...Ch. 23 - What is the peak emf generated by a 0.250 m...Ch. 23 - (a) A bicycle generator rotates at 1875 rad/s,...Ch. 23 - Integrated Concepts This problem refers to the...Ch. 23 - (a) A car generator turns at 400 rpm when 1he...Ch. 23 - Show that if a coil rotates at an angular velocity...Ch. 23 - A 75-turn, 10.0 cm diameter coil rotates at an...Ch. 23 - (a) If the emf of a coil rotating in a magnetic...Ch. 23 - Unreasonable Results A 500-turn coil with a 0.250...Ch. 23 - Suppose a motor connected to a 120 V source draws...Ch. 23 - A motor operating on 240 V electricity has a 180 V...Ch. 23 - What is the back emf of a 120 V motor that draws...Ch. 23 - The motor in a toy car operates on 6.00 V....Ch. 23 - Integrated Concepts The motor in a toy car is...Ch. 23 - A plug—in transformer, like that in Figure 23.29,...Ch. 23 - An American traveler in New Zealand carries a...Ch. 23 - A cassette recorder uses a plug-in transformer to...Ch. 23 - (a) What is the voltage output of a transformer...Ch. 23 - (a) The plug-in transformer for a laptop computer...Ch. 23 - A multipurpose transformer has a secondary coil...Ch. 23 - A large power plant generates electricity at 12.0...Ch. 23 - If the power output in the previous problem is...Ch. 23 - Unreasonable Results The 335 kV AC electricity...Ch. 23 - Construct Your Own Problem Consider a double...Ch. 23 - Integrated Concepts A short circuit to the...Ch. 23 - Two coils are placed close together in a physics...Ch. 23 - If two coils placed next to one another have a...Ch. 23 - The 4.00 A current through a 7.50 mH inductor is...Ch. 23 - A device is turned on and 3.00 A flows through it...Ch. 23 - Starting with emf2=MI1t, show that the units of...Ch. 23 - Camera flashes charge a capacitor to high voltage...Ch. 23 - A large research solenoid has a self-inductance of...Ch. 23 - (a) Calculate the self-inductance of a 50.0 cm...Ch. 23 - A precision laboratory resistor is made of a coil...Ch. 23 - The healing coils in a hair dryer are 0.800 cm in...Ch. 23 - When the 20.0 A current through an inductor is...Ch. 23 - How fast can the 150 A current through a 0.250 H...Ch. 23 - Integrated Concepts A very large, superconducting...Ch. 23 - Unreasonable Results A 25.0 H inductor has 100 A...Ch. 23 - It you want a characteristic RL time constant of...Ch. 23 - Your RL circuit has a characteristic time constant...Ch. 23 - A large superconducting magnet, used for magnetic...Ch. 23 - Verify that alter a time of 10.0 ms, the current...Ch. 23 - Suppose you have a supply of inductors ranging...Ch. 23 - (a) What is the characteristic time constant of a...Ch. 23 - What percentage of the final current I0 flows...Ch. 23 - The 5.00 A current through a 1.50 H inductor is...Ch. 23 - (a) Use the exact exponential treatment to find...Ch. 23 - (a) Using the exact exponential treatment, find...Ch. 23 - At what frequency will a 30.0 mH inductor have a...Ch. 23 - What value of inductance should be used if a 20.0...Ch. 23 - What capacitance should be used to produce a 2.00...Ch. 23 - At what frequency will an 80.0 mF capacitor have a...Ch. 23 - (a) Find me current through a 0.500 H inductor...Ch. 23 - (a) What current flows when a 60.0 Hz, 480 V AC...Ch. 23 - A 20.0 kHz, 16.0 V source connected to an inductor...Ch. 23 - A 20.0 HZ, 16.0 V source produces a 2.00 mA...Ch. 23 - (a) An inductor designed to filter high-frequency...Ch. 23 - The capacitor in Figure 23.55(a) is designed to...Ch. 23 - The capacitor in Figure 23.55(b) will filler...Ch. 23 - Unreasonable Results In a recording of voltages...Ch. 23 - Construct Your Own Problem Consider the use of an...Ch. 23 - An RL circuit consists of a 40.0 (resistor and a...Ch. 23 - An RC circuit consists of a 40.0 (resistor and a...Ch. 23 - An LC circuit consists of a 3.00 mH inductor and a...Ch. 23 - What is the resonant frequency of a 0.500 mH...Ch. 23 - To receive AM radio, you want an RLC circuit that...Ch. 23 - Suppose you have a supply of inductors ranging...Ch. 23 - What capacitance do you need to produce a resonant...Ch. 23 - What inductance do you need to produce a resonant...Ch. 23 - The lowest frequency in the FM radio band is 88.0...Ch. 23 - An RLC series circuit has a 2.50 (resistor, a 100...Ch. 23 - An RLC series circuit hag a 1.00 k(register, a 150...Ch. 23 - An RLC series circuit has a 2.50 (resistor, a 100...Ch. 23 - An RLC series circuit has a 1.00 k(resistor, a...Ch. 23 - An RLC series circuit has a 200 (resistor and a...Ch. 23 - Referring to Example 23.14, find the average power...
Additional Science Textbook Solutions
Find more solutions based on key concepts
13. Figure 2.12 shows the results of Mendel’s test-cross analysis of independent assortment. In this experiment...
Genetic Analysis: An Integrated Approach (3rd Edition)
1. a. Can a vector have nonzero magnitude if a component is zero? If no, why not? If yes, give an example.
b. C...
College Physics: A Strategic Approach (3rd Edition)
In what way do the membranes of a eukaryotic cell vary? A. Phospholipids are found only in certain membranes. B...
Campbell Biology in Focus (2nd Edition)
Using the forked-line, or branch diagram, method, determine the genotypic and phenotypic ratios of these trihyb...
Concepts of Genetics (12th Edition)
16. On the Apollo 14 mission to the moon, astronaut Alan Shepard hit a golf ball with a 6 iron. The free-fall a...
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Where is transitional epithelium found and what is its importance at those sites?
Anatomy & Physiology (6th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- No chatgpt pls will upvote Iarrow_forwardHow would partial obstruction of an air intake port of an air-entrainment mask effect FiO2 and flow?arrow_forward14 Z In figure, a closed surface with q=b= 0.4m/ C = 0.6m if the left edge of the closed surface at position X=a, if E is non-uniform and is given by € = (3 + 2x²) ŷ N/C, calculate the (3+2x²) net electric flux leaving the closed surface.arrow_forward
- No chatgpt pls will upvotearrow_forwardsuggest a reason ultrasound cleaning is better than cleaning by hand?arrow_forwardCheckpoint 4 The figure shows four orientations of an electric di- pole in an external electric field. Rank the orienta- tions according to (a) the magnitude of the torque on the dipole and (b) the potential energy of the di- pole, greatest first. (1) (2) E (4)arrow_forward
- What is integrated science. What is fractional distillation What is simple distillationarrow_forward19:39 · C Chegg 1 69% ✓ The compound beam is fixed at Ę and supported by rollers at A and B. There are pins at C and D. Take F=1700 lb. (Figure 1) Figure 800 lb ||-5- F 600 lb بتا D E C BO 10 ft 5 ft 4 ft-—— 6 ft — 5 ft- Solved Part A The compound beam is fixed at E and... Hình ảnh có thể có bản quyền. Tìm hiểu thêm Problem A-12 % Chia sẻ kip 800 lb Truy cập ) D Lưu of C 600 lb |-sa+ 10ft 5ft 4ft6ft D E 5 ft- Trying Cheaa Những kết quả này có hữu ích không? There are pins at C and D To F-1200 Egue!) Chegg Solved The compound b... Có Không ☑ ||| Chegg 10 וחarrow_forwardNo chatgpt pls will upvotearrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
College PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax College
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College