College Physics
1st Edition
ISBN: 9781938168048
Author: Paul Peter Urone, OpenStax, Roger Hinrichs
Publisher: OpenStax
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Textbook Question
Chapter 22, Problem 67PE
Measurements affect the system being measured, such as the current loop in Figure 22.56. (a) Estimate file field the loop creates by calculating the field at the center of a circular loop 20.0 cm in diameter carrying 5.00 A. (b) What is the smallest field strength this loop can be used to measure, if its field must alter the measured field by less than 0.0100%?
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Question B3
Consider the following FLRW spacetime:
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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]
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.
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(b) Consider now the coordinate system x' (u, v, y, z) such that
u =t-x,
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[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]
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Chapter 22 Solutions
College Physics
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Ch. 22 - Which of the particles in Figure 22.47 has the...Ch. 22 - Which of the particles in Figure 22.47 has the...Ch. 22 - While operating, a high-precision TV monitor is...Ch. 22 - Discuss how the Hall effect could be used to...Ch. 22 - Draw a sketch of the situation in Figure 22.30...Ch. 22 - Verify than the direction of the line force in an...Ch. 22 - Why would a magnetohydrodynamic drive work better...Ch. 22 - Which is more likely to interfere with compass...Ch. 22 - Draw a diagram and use RHR-l to show that the...Ch. 22 - Make a drawing and use RHR—2 to find the direction...Ch. 22 - Is the force attractive or repulsive between the...Ch. 22 - It you have three parallel wires in the same...Ch. 22 - Suppose two long straight wires run perpendicular...Ch. 22 - Use the right hand rules to show that the force...Ch. 22 - If one of the loops in Figure 22.49 is titled...Ch. 22 - Electric field lines can be shielded by me Faraday...Ch. 22 - Measurements at the weak and ?uctuating magnetic...Ch. 22 - 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(a) Viewers of Star Trek hear of an antimatter...Ch. 22 - (a) An oxygen16 ion with a mass at 2.661026kg...Ch. 22 - What radius circular path does an electron travel...Ch. 22 - A velocity selector in a mass spectrometer uses a...Ch. 22 - An electron in a TV CRT moves with a speed at...Ch. 22 - (a) At what speed will a proton move in a circular...Ch. 22 - A mass spectrometer is being used to separate...Ch. 22 - (a) Triply charged uranium-235 and uranium-238...Ch. 22 - A large water main is 2.50 m in diameter and the...Ch. 22 - What Hall voltage is produced by a 0.200T field...Ch. 22 - (a) What is the speed of a supersonic aircraft...Ch. 22 - A nonmechanical water meter could utilize the Hall...Ch. 22 - Calculate the Hall voltage induced on a patient’s...Ch. 22 - A Hall probe calibrated to read 1.00V when placed...Ch. 22 - Using information in Example 20.6, what would the...Ch. 22 - Show that the Hall voltage across wires made of...Ch. 22 - A patient with a pacemaker is mistakenly being...Ch. 22 - What is the direction of the magnetic force on the...Ch. 22 - What is the direction of a current that...Ch. 22 - What is the direction of the magnetic field that...Ch. 22 - (a) What is the force per meter on a lightning...Ch. 22 - (a) A DC power line for a light-rail system...Ch. 22 - What force is exerted on the water in an MHD drive...Ch. 22 - A wire carrying a 30.0-A current passes between...Ch. 22 - (a) A 0.750-m-long section of cable carrying...Ch. 22 - (a) What is the angle between a wire carrying an...Ch. 22 - The force on the rectangular loop of wire in the...Ch. 22 - (a) By how many percent is the torque of a motor...Ch. 22 - (a) What is me maximum torque on a 150Turn square...Ch. 22 - Find the current through a loop needed to create a...Ch. 22 - Calculate the magnetic field strength needed on a...Ch. 22 - Since the equation for torque on a...Ch. 22 - (a) At what angle (is the torque on a current loop...Ch. 22 - A proton has a magnetic field due to its spin on...Ch. 22 - (a) A 200Turn circular loop of radius 50.0 cm is...Ch. 22 - 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