A thin cylindrical shell of radius R₁ = 4.5 cm is surroundedby a second cylindrical shell of radius R₂ = 9.5 cm, as in (Figure 1). Both cylinders are 15 m long and the inner onecarries a total charge Q₁ = -0.68 nC and the outer one Q₂= +1.56 nC.FigureR.RR₂< 1 of 1 >Part AIf an electron (m= 9.1 x 10-31 kg) escaped from the surface of the inner cylinder with negligible speed, what would be its speed when it reached the outer cylinder?Express your answers with the appropriate units.V₂²SubmitPart BUp ²SubmitHAValueRequest AnswerIf a proton (m = 1.67 x 10-27 kg) revolves in a circular orbit of radius R = 7.0 cm about the axis (i.e., between the cylinders), what must be its speed?Express your answers with the appropriate units.Provide FeedbackμÅValue5UnitsRequest Answer?Units?

Answered: Image /qna-images/answer/232c405f-0146-4b14-a5cc-cf270892cb41.jpg

A thin cylindrical shell of radius R₁ = 4.5 cm is surrounded by a second cylindrical shell of radius R₂ = 9.5 cm. as in ( Figure 1). Both cylinders are 15 m long and the inner one carries a total charge Q₁ = -0.68 nC and the outer one Q₂ = +1.56 DC.

A thin cylindrical shell of radius R₁ = 4.5 cm is surrounded by a second cylindrical shell of radius R₂ = 9.5 cm. as in ( Figure 1). Both cylinders are 15 m long and the inner one carries a total charge Q₁ = -0.68 nC and the outer one Q₂ = +1.56 DC.

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 24.46P: A thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108...

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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

A thin cylindrical shell of radius R₁ = 4.5 cm is surrounded
by a second cylindrical shell of radius R₂ = 9.5 cm, as in (
Figure 1). Both cylinders are 15 m long and the inner one
carries a total charge Q₁ = -0.68 nC and the outer one Q₂
= +1.56 nC.
Figure
R.R
R₂
< 1 of 1 >
Part A
If an electron (m= 9.1 x 10-31 kg) escaped from the surface of the inner cylinder with negligible speed, what would be its speed when it reached the outer cylinder?
Express your answers with the appropriate units.
V₂²
Submit
Part B
Up ²
Submit
HA
Value
Request Answer
If a proton (m = 1.67 x 10-27 kg) revolves in a circular orbit of radius R = 7.0 cm about the axis (i.e., between the cylinders), what must be its speed?
Express your answers with the appropriate units.
Provide Feedback
μÅ
Value
5
Units
Request Answer
?
Units
?

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Step 1: Given data:

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Step 2: Calculation of charge per unit length of both cylinders:

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Step 3: Calculation of net potential difference experienced by the electron:

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Step 4: a) Calculation of speed of electron:

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Step 5: Calculation of net electric field at r=R:

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Step 6: b) Calculation of speed of proton as it orbits in a circle at r=R:

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