Problem 2: A proton orbits a long charged wire, making N = 1.0 x 106 revolutions per second. The radius of the orbit is R = 1.0 cm (see Fig.2). What is the wire's linear charge density? a) For such motion to be possible, should the charge on the wire be positive or negative? In Fig.2, draw the electric field created by the wire. b) Express the centripetal acceleration of the proton in terms of its orbital pa- rameters R and N. J² R mp, e FIG. 2: The scheme for Problem 2 c) Express the acceleration of the proton in terms of the electric field acting on it. You need to use the formula for the field of an infinite charged wire. 3 d) Equating the two expressions for the proton's acceleration, deduce the absolute value of the linear charge density on the wire, [2].
Problem 2: A proton orbits a long charged wire, making N = 1.0 x 106 revolutions per second. The radius of the orbit is R = 1.0 cm (see Fig.2). What is the wire's linear charge density? a) For such motion to be possible, should the charge on the wire be positive or negative? In Fig.2, draw the electric field created by the wire. b) Express the centripetal acceleration of the proton in terms of its orbital pa- rameters R and N. J² R mp, e FIG. 2: The scheme for Problem 2 c) Express the acceleration of the proton in terms of the electric field acting on it. You need to use the formula for the field of an infinite charged wire. 3 d) Equating the two expressions for the proton's acceleration, deduce the absolute value of the linear charge density on the wire, [2].
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Can you label which one is A,B,C and D thank you
![Problem 2: A proton orbits a long charged wire, making N = 1.0 x 106 revolutions
per second. The radius of the orbit is R = 1.0 cm (see Fig.2). What is the wire's linear
charge density?
a) For such motion to be possible, should the charge on the wire be positive or
negative? In Fig.2, draw the electric field created by the wire.
b) Express the centripetal acceleration of the proton in terms of its orbital pa-
rameters R and N.
J²
R
mp, e
FIG. 2: The scheme for
Problem 2
c) Express the acceleration of the proton in terms of the electric field acting on it. You need to use the
formula for the field of an infinite charged wire.
3
d) Equating the two expressions for the proton's acceleration, deduce the absolute value of the linear
charge density on the wire, [2].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F18a6ec25-19be-4cf6-877e-2d16ba872e0d%2F3cfa283d-8bbf-4cd3-a82c-8e927b87cb17%2Fr1re9q_processed.png&w=3840&q=75)
Transcribed Image Text:Problem 2: A proton orbits a long charged wire, making N = 1.0 x 106 revolutions
per second. The radius of the orbit is R = 1.0 cm (see Fig.2). What is the wire's linear
charge density?
a) For such motion to be possible, should the charge on the wire be positive or
negative? In Fig.2, draw the electric field created by the wire.
b) Express the centripetal acceleration of the proton in terms of its orbital pa-
rameters R and N.
J²
R
mp, e
FIG. 2: The scheme for
Problem 2
c) Express the acceleration of the proton in terms of the electric field acting on it. You need to use the
formula for the field of an infinite charged wire.
3
d) Equating the two expressions for the proton's acceleration, deduce the absolute value of the linear
charge density on the wire, [2].
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