COLLEGE PHYSICS
2nd Edition
ISBN: 9781711470832
Author: OpenStax
Publisher: XANEDU
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Chapter 24, Problem 24PE
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Students have asked these similar questions
Draw a third quadrant vector C. (remember that boldface characters represent vector
quantities). Show the standard angle 0 for this vector (= angle that C makes with the positive x-
axis). Also show the angle that C makes with the negative y-axis: call the latter angle 8. Finally,
show the smallest angles that C makes with the positive x-axis and the positive y-axis: call these
angles p1 and p2, repectively.
a) Prove the following formulas for the components of C involving the standard angle (hint:
start with the formulas for the components based on the angle & and then use (look up if
necessary) co-function identities linking cosine and sine of 8 to sine and cosine of 0 since 8 =
3π/2-8 (this will switch cosine and sine around and eliminate - signs as well))
-
C=Ccose
C₁=Csine
b) Prove the following formulas for the components of C:
C=Ccosp1
C=Ccosp2
Notation matters when working with vectors! In particular, it is important to
distinguish between the vector itself (A) and its magnitude (A).
Illustrate in four separate sketches that each of the following statements is
possible:
a) both R = A + B and R=A+B are correct
b) R = A + B is correct, but R=A+B is incorrect
c) R = A + B is incorrect, but R=A+B is correct
d) both R = A + B and R=A+B are incorrect
You know from your math courses that an infinitesimal segment of a
circular arc can be considered as a straight line segment. Imagine that you
cover a full circle in, say, the clockwise direction, with infinitesimal
displacement vectors dr. Then evaluate fdr and fdr (the circle symbol on
the integral just reminds us that we have to go around the full circle).
Chapter 24 Solutions
COLLEGE PHYSICS
Ch. 24 - The direction of the electric field shown in each...Ch. 24 - Is the direction of the magnetic field shown in...Ch. 24 - Why is the direction of the current shown in each...Ch. 24 - Prob. 4CQCh. 24 - Prob. 5CQCh. 24 - Should the straight wire antenna of a radio he...Ch. 24 - Under what conditions might wires in a DC circuit...Ch. 24 - Give an example of interference of electromagnetic...Ch. 24 - Prob. 9CQCh. 24 - Can an antenna be any length? Explain your answer.
Ch. 24 - If you live in a region that has a particular TV...Ch. 24 - Explain why people who have the lens of their eye...Ch. 24 - How do ?uorescent soap residues make clothing look...Ch. 24 - Give an example of resonance in the reception of...Ch. 24 - Illustrate that the size of details of an object...Ch. 24 - Why don't buildings block radio waves as...Ch. 24 - Make a list of some everyday objects and decide...Ch. 24 - Your friend says mat more patterns and colors can...Ch. 24 - The rate at which information can be transmitted...Ch. 24 - Give an example of energy carried by an...Ch. 24 - In an MRI scan, a higher magnetic field requires...Ch. 24 - Laser vision correction often uses an excimer...Ch. 24 - Verify that the correct value for the speed of...Ch. 24 - Show that, when SI units for 0 and 0 are entered,...Ch. 24 - What is the maximum electric field strength in an...Ch. 24 - The maximum magnetic field strength of an...Ch. 24 - Verify the units obtained for magnetic field...Ch. 24 - (a) Two microwave frequencies are authorized for...Ch. 24 - (a) Calculate the range of wavelength for AM radio...Ch. 24 - A radio station utilizes frequencies between...Ch. 24 - Find the frequency range of visible light, given...Ch. 24 - Combing your hair leads to excess electrons on the...Ch. 24 - Electromagnetic radiation having a 15.0m...Ch. 24 - Approximately what is the smallest detail...Ch. 24 - A radar used to detect the presence of aircraft...Ch. 24 - Some radar systems detect the size and shape of...Ch. 24 - Determine the amount of time it takes for X-rays...Ch. 24 - If you wish to detect details of the size of atoms...Ch. 24 - If the Sun suddenly turned off, we would not know...Ch. 24 - Distances in space are often quoted in units of...Ch. 24 - A certain 50.0-Hz AC power line radiates an...Ch. 24 - During normal bee?ng, the heat creates a maximum...Ch. 24 - (a) The ideal size (most efficient) for a...Ch. 24 - (a) What is the wavelength of 100MHz radio waves...Ch. 24 - (a) What is the frequency at the 193-nm...Ch. 24 - Prob. 24PECh. 24 - Conversations with astronauts on lunar walks had...Ch. 24 - Lunar astronauts placed a reflector on the Moon's...Ch. 24 - Radar is used to determine distances to various...Ch. 24 - Integrated Concepts (a) Calculate the ratio of the...Ch. 24 - Integrated Concepts (a) Calculate the rate in...Ch. 24 - What is the intensity of an electromagnetic wave...Ch. 24 - Find the intensity of an electromagnetic wave...Ch. 24 - Assume the helium-neon lasers commonly used in...Ch. 24 - An AM radio transmitter broadcasts 50.0 kW of...Ch. 24 - Suppose the maximum safe intensity of microwaves...Ch. 24 - Prob. 35PECh. 24 - Lasers can be constructed that produce an...Ch. 24 - Show that for a continuous sinusoidal...Ch. 24 - Suppose a source of electromagnetic waves radiates...Ch. 24 - Integrated Concepts An LC circuit with a 5.00pF...Ch. 24 - Integrated Concepts What capacitance is needed in...Ch. 24 - Integrated Concepts Police radar determines the...Ch. 24 - Integrated Concepts Assume the mostly infrared...Ch. 24 - Integrated Concepts On its highest power se1ting,...Ch. 24 - Integrated Concepts Electromagnetic radiation from...Ch. 24 - Integrated Concepts A 200-turn flat coil of wire...Ch. 24 - Integrated Concepts If electric and magnetic field...Ch. 24 - Unreasonable Results A researcher measures the...Ch. 24 - Unreasonable Results The peak magnetic field...Ch. 24 - Unreasonable Results An LC circuit containing a...Ch. 24 - Unreasonable Results An LC circuit containing a...Ch. 24 - Create Your Own Problem Consider electromagnetic...Ch. 24 - Create Your Own Problem Consider the most recent...Ch. 24 - Prob. 1TPCh. 24 - Prob. 2TPCh. 24 - Prob. 3TPCh. 24 - Prob. 4TPCh. 24 - Prob. 5TPCh. 24 - Prob. 6TPCh. 24 - Prob. 7TPCh. 24 - Prob. 8TPCh. 24 - Prob. 9TPCh. 24 - Prob. 10TPCh. 24 - Prob. 11TPCh. 24 - Prob. 12TP
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