Say you have an infinite cylinder of radius R = 6 m. Find the enclosed charge and magnitude of Electric Field at r = R/2 if the volume charge density p = 6 C/m³ a) Charge enclosed inside length L = 7 m for this gaussian surface Give your answer up to at least three significance digits. Electric field atr = 3.0 m Give your answer up to at least three significance digits. N/C b) Now consider the Gaussian surface with radisu r = 12 m Charge enclosed inside length L = 7 m for this gaussian surface Give your answer up to at least three significance digits. C Electric field at 12 m Give your answer up to at least three significance digits. N/C

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Chapter1: Units, Trigonometry. And Vectors
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Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N m2 /C². Vacuum permitivity,
€0 = 8.854 x 10-12 F/m. Magnetic Permeability of vacuum, uo = 12.566370614356 × 10- H/m. Magnitude
of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, me = 9.10938356 × 10-31
kg.
Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb.
Say you have an infinite cylinder of radius R = 6 m. Find the enclosed charge and magnitude of Electric Field at
r = R/2 if the volume charge density p = 6 C/m³
а)
Charge enclosed inside length L = 7 m for this gaussian surface
Give your answer up to at least three significance digits.
C
Electric field at r = 3.0 m
Give your answer up to at least three significance digits.
N/C
b) Now consider the Gaussian surface with radisu r = 12 m
Charge enclosed inside length L = 7 m for this gaussian surface
Give your answer up to at least three significance digits.
C
Electric field at 12 m
Give your answer up to at least three significance digits.
N/C
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 x 10° N m2 /C². Vacuum permitivity, €0 = 8.854 x 10-12 F/m. Magnetic Permeability of vacuum, uo = 12.566370614356 × 10- H/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, me = 9.10938356 × 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb. Say you have an infinite cylinder of radius R = 6 m. Find the enclosed charge and magnitude of Electric Field at r = R/2 if the volume charge density p = 6 C/m³ а) Charge enclosed inside length L = 7 m for this gaussian surface Give your answer up to at least three significance digits. C Electric field at r = 3.0 m Give your answer up to at least three significance digits. N/C b) Now consider the Gaussian surface with radisu r = 12 m Charge enclosed inside length L = 7 m for this gaussian surface Give your answer up to at least three significance digits. C Electric field at 12 m Give your answer up to at least three significance digits. N/C
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