Problem 2: A proton orbits a long charged wire, making N = 1.0x10° 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. 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, [A].

Problem 2: A proton orbits a long charged wire, making N = 1.0x10° 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. 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, [A].

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 1PQ: Which word or name has the same symmetry as the letters in the name ZAK? (Explain your answer.) a....

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Concept explainers

Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.

Question

I need help with question D can you label which one is D

Problem 2: A proton orbits a long charged wire, making N = 1.0x10° 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.
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, [A].

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