Principles of Physics: A Calculus-Based Text
5th Edition
ISBN: 9781133104261
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 22, Problem 60P
In Niels
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() THE FOLLOWING QUESTIONS ARE BASED ON THE INFORMATION GIVEN BELOW.
A particle with mass m, electrical charge q and an initial velocity vo = ±oî + ÿoÎ + żok, where io, Ýo, and żo are constants, enters the magnetic field B = Boĵ and begins helical
motion. The velocity of the particle in the magnetic field is given by i = ±î + ÿî + ¿k.
A) Which of the following is the magnitude of the acceleration of the particle in the field?
O qBo
+ ż?
т
O qBo
т
qBo
+ y + ¿
O qBo
m
O qBo
² + ÿ? + ¿?
m
B) What is the period of the helical motion?
O 2Tm
qBo
2
:2
2am Vrõ + żó
qBo
O 2nm
qBo Vi? + ż²
O 2rm Vä? +¿²
qBo
O 2am
qBo
To understand why charged particles move in circles perpendicular to a magnetic field and why the frequency is invariant. A particle of charge q and mass m moves in a region of space where there is a uniform magnetic field B=B0k (ie a magnetic field of magnitude B0 in the +z direction) in this problme neglect any forces on the particle other than the magnetic force. (A) if the resulting trajectory of the charged particle is a circle, what was the angular frequency of the circular motion? Express angular frequency in terms of q,m, and B0.
An electron in a magnetic field moves along a circle with a radius of 34.0 m with a speed that follows:v(t)=v0e−btwhere b = 0.54 s-1 and v0 = 287 m/s. Find the following:
The centripetal component of the acceleration at t = 3.9 seconds.
The angular acceleration at t = 3.9 seconds.
The magnitude of the total acceleration at t = 3.9 seconds.
The angular displacement for the electron from t = 0 until t = 3.9 seconds.
Chapter 22 Solutions
Principles of Physics: A Calculus-Based Text
Ch. 22.2 - An electron moves in the plane of this paper...Ch. 22.3 - A charged particle is moving perpendicular to a...Ch. 22.5 - A wire carries current in the plane of this paper...Ch. 22.7 - Consider the magnetic field due to the current in...Ch. 22.8 - Prob. 22.5QQCh. 22.9 - Figure 22.30 (Quick Quiz 22.6) Four closed paths...Ch. 22.9 - Prob. 22.7QQCh. 22.10 - Consider a solenoid that is very long compared...Ch. 22 - Prob. 1OQCh. 22 - What creates a magnetic field? More than one...
Ch. 22 - A charged particle is traveling through a uniform...Ch. 22 - A proton moving horizontally enters a region where...Ch. 22 - Two long, parallel wires each carry the same...Ch. 22 - Two long, straight wires cross each other at a...Ch. 22 - Prob. 7OQCh. 22 - Prob. 8OQCh. 22 - Answer each question yes or no. (a) Is it possible...Ch. 22 - A long, straight wire carries a current I (Fig....Ch. 22 - A thin copper rod 1.00 m long has a mass of 50.0...Ch. 22 - A magnetic field exerts a torque on each of the...Ch. 22 - Two long, parallel wires carry currents of 20.0 A...Ch. 22 - Prob. 14OQCh. 22 - A long solenoid with closely spaced turns carries...Ch. 22 - Solenoid A has length L and N turns, solenoid B...Ch. 22 - Prob. 1CQCh. 22 - Prob. 2CQCh. 22 - Prob. 3CQCh. 22 - Prob. 4CQCh. 22 - Prob. 5CQCh. 22 - Prob. 6CQCh. 22 - Prob. 7CQCh. 22 - Imagine you have a compass whose needle can rotate...Ch. 22 - Prob. 9CQCh. 22 - Can a constant magnetic field set into motion an...Ch. 22 - Prob. 11CQCh. 22 - Prob. 12CQCh. 22 - Prob. 13CQCh. 22 - Prob. 14CQCh. 22 - A proton travels with a speed of 3.00 106 m/s at...Ch. 22 - Determine the initial direction of the deflection...Ch. 22 - An electron is accelerated through 2.40 103 V...Ch. 22 - Prob. 4PCh. 22 - Prob. 5PCh. 22 - Prob. 6PCh. 22 - Prob. 7PCh. 22 - Prob. 8PCh. 22 - Review. An electron moves in a circular path...Ch. 22 - A cosmic-ray proton in interstellar space has an...Ch. 22 - Prob. 11PCh. 22 - Prob. 12PCh. 22 - Prob. 13PCh. 22 - Prob. 14PCh. 22 - Consider the mass spectrometer shown schematically...Ch. 22 - Prob. 16PCh. 22 - The picture tube in an old black-and-white...Ch. 22 - Prob. 18PCh. 22 - Prob. 19PCh. 22 - In Figure P22.20, the cube is 40.0 cm on each...Ch. 22 - Prob. 21PCh. 22 - Prob. 22PCh. 22 - A wire 2.80 m in length carries a current of 5.00...Ch. 22 - A current loop with magnetic dipole moment is...Ch. 22 - A rectangular coil consists of N = 100 closely...Ch. 22 - Prob. 26PCh. 22 - Prob. 27PCh. 22 - Prob. 28PCh. 22 - Calculate the magnitude of the magnetic field at a...Ch. 22 - An infinitely long wire carrying a current I is...Ch. 22 - Prob. 31PCh. 22 - Prob. 32PCh. 22 - One long wire carries current 30.0 A to the left...Ch. 22 - Prob. 34PCh. 22 - Prob. 35PCh. 22 - Prob. 36PCh. 22 - Prob. 37PCh. 22 - 3. In Niels Bohr’s 1913 model of the hydrogen...Ch. 22 - Review. In studies of the possibility of migrating...Ch. 22 - Prob. 40PCh. 22 - Prob. 41PCh. 22 - Prob. 42PCh. 22 - In Figure P22.43, the current in the long,...Ch. 22 - Prob. 44PCh. 22 - Prob. 45PCh. 22 - Prob. 46PCh. 22 - Prob. 47PCh. 22 - A packed bundle of 100 long, straight, insulated...Ch. 22 - Prob. 49PCh. 22 - Prob. 50PCh. 22 - Prob. 51PCh. 22 - Prob. 52PCh. 22 - A long, straight wire lies on a horizontal table...Ch. 22 - Prob. 54PCh. 22 - A single-turn square loop of wire, 2.00 cm on each...Ch. 22 - Prob. 56PCh. 22 - A long solenoid that has 1 000 turns uniformly...Ch. 22 - A solenoid 10.0 cm in diameter and 75.0 cm long is...Ch. 22 - Prob. 59PCh. 22 - In Niels Bohr’s 1913 model of the hydrogen atom,...Ch. 22 - Prob. 61PCh. 22 - Prob. 62PCh. 22 - Prob. 63PCh. 22 - Prob. 64PCh. 22 - Prob. 65PCh. 22 - The Hall effect finds important application in the...Ch. 22 - Prob. 67PCh. 22 - Prob. 68PCh. 22 - Prob. 69PCh. 22 - Prob. 70PCh. 22 - Assume the region to the right of a certain plane...Ch. 22 - Prob. 72PCh. 22 - Prob. 73PCh. 22 - Prob. 74PCh. 22 - Prob. 75PCh. 22 - Review. Rail guns have been suggested for...Ch. 22 - Prob. 77PCh. 22 - Prob. 78PCh. 22 - Prob. 79PCh. 22 - Prob. 80PCh. 22 - Prob. 81P
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