A train moves along the x-axis at a speed of 0.9c. A stationary observer inside the train is holding a rod of charge Q and length L (parallel to x-axis). a. From the perspective of a stationary observer outside the train, what is the length of the charged rod? b. What is the linear charge density of the rod according the observer inside the train and the observer outside the train? c. Comment on your result in item b. How do charge densities vary when you change your frame of reference?

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 28PQ: A very long, thin wire fixed along the x axis has a linear charge density of 3.2 C/m. a. Determine...
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A train moves along the x-axis at a speed of 0.9c. A stationary observer inside the train is holding a
rod of charge Q and length L (parallel to x-axis).
a. From the perspective of a stationary observer outside the train, what is the length of the charged
rod?
b. What is the linear charge density of the rod according the observer inside the train and the
observer outside the train?
c. Comment on your result in item b. How do charge densities vary when you change your frame
of reference?
Transcribed Image Text:A train moves along the x-axis at a speed of 0.9c. A stationary observer inside the train is holding a rod of charge Q and length L (parallel to x-axis). a. From the perspective of a stationary observer outside the train, what is the length of the charged rod? b. What is the linear charge density of the rod according the observer inside the train and the observer outside the train? c. Comment on your result in item b. How do charge densities vary when you change your frame of reference?
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