We will use the usual equations for current density and current flow to find the time interval. Part 3 of 5 - Analyze (a) The current density is given by the following equation, where we know the radius of the circular cross- section of the beam. A x 10-6 A) x 10 m A/m Submit Skip (you cannot come back)

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Author:Raymond A. Serway, Chris Vuille
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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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Tutorial Exercise
The electron beam emerging from a certain high-energy electron accelerator has a circular cross section of
radius 1.80 mm.
(a) The beam current is 8.10 µA. Find the current density in the beam assuming it is uniform
throughout.
(b) The speed of the electrons is so close to the speed of light that their speed can be taken as 300
Mm/s with negligible error. Find the electron density in the beam.
(c) Over what time interval does Avogadro's number of electrons emerge from the accelerator?
Part 1 of 5 - Conceptualize
For a small current in a metal wire, the current density can be several amps per square meter. In such a
metal wire, the electron density is high and the electron speed is low. In the high-energy electron beam
described in this problem, the speed is high and the electron density is very low. A long time will be required
for Avogadro's number of electrons to emerge.
Part 2 of 5 - Categorize
We will use the usual equations for current density and current flow to find the time interval.
Part 3 of 5 - Analyze
(a) The current density is given by the following equation, where we know the radius of the circular cross-
section of the beam.
I
A
A)
x 10-6
10-3
|A/m2
Submit
Skip (you cannot come back)
Transcribed Image Text:Tutorial Exercise The electron beam emerging from a certain high-energy electron accelerator has a circular cross section of radius 1.80 mm. (a) The beam current is 8.10 µA. Find the current density in the beam assuming it is uniform throughout. (b) The speed of the electrons is so close to the speed of light that their speed can be taken as 300 Mm/s with negligible error. Find the electron density in the beam. (c) Over what time interval does Avogadro's number of electrons emerge from the accelerator? Part 1 of 5 - Conceptualize For a small current in a metal wire, the current density can be several amps per square meter. In such a metal wire, the electron density is high and the electron speed is low. In the high-energy electron beam described in this problem, the speed is high and the electron density is very low. A long time will be required for Avogadro's number of electrons to emerge. Part 2 of 5 - Categorize We will use the usual equations for current density and current flow to find the time interval. Part 3 of 5 - Analyze (a) The current density is given by the following equation, where we know the radius of the circular cross- section of the beam. I A A) x 10-6 10-3 |A/m2 Submit Skip (you cannot come back)
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