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, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter24: Gauss’s Law

Section: Chapter Questions

Problem 24.3OQ: In which of the following contexts ran Gausss law not be readily applied to find the electric field?...

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