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A high-energy proton accelerator produces a proton beam with a radius of \(\textrm{mm}\). The beam current is \(\rm\mu \rm{A}\) and is constant. The charge density of the beam is \(n = \) \( \times 10^{11}\) protons per cubic meter.

Part 1#

What is the current density of the beam?

Answer Section#

Please enter a numeric value.

Part 2#

What is the drift velocity of the beam?

Answer Section#

Please enter a numeric value.

Part 3#

How much time does it take for \({{params.p}} \times 10^{10}\) protons to be emitted by the accelerator?

Answer Section#

Please enter a numeric value.

pl-submission-panel#

pl-answer-panel#

\(v\_{d}=\) \(\mathrm{m}/\mathrm{s}\)

$t=$ {{ correct_answers.part3_ans_str }} $\mathrm{s}$

Attribution#

Problem is from the OpenStax University Physics Volume 2 textbook, licensed under the CC-BY 4.0 license.
Image representing the Creative Commons 4.0 BY license.