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University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter6: Gauss's Law
Section: Chapter Questions
Problem 75AP: (a) Calculate the electric flux through the open hemispherical surface due to the electric field E...
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Consider the electric flux DE = E· A of a uniform electric field (whose magnitude is E)
that makes an angle 0 with the unit vectorîn that is normal to a rectangular surface
whose area is A. Then the electric flux OF can be shown to be equal to:
Answer for participation grade.
EA
EAn
EAcose
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, o = 12.566370614356 x 10 -7H/m. Magnitude of the
Charge of one electron, e = - 1.60217662 x 10 -19 c. Mass of one electron, m. = 9.10938356 x 10 -31 kg. Unless
specified otherwise, each symbol carries their usual meaning. For example, µc means micro coulomb.
The flux oF = 19 N - m2/C through the open surface Å = 10i + 2j + 8k is given. Find the value of a if the electric field is
E = - ai + 5k
Value of "a"
Give your answer up to at least three significance digits.
Transcribed Image Text:Consider the electric flux DE = E· A of a uniform electric field (whose magnitude is E) that makes an angle 0 with the unit vectorîn that is normal to a rectangular surface whose area is A. Then the electric flux OF can be shown to be equal to: Answer for participation grade. EA EAn EAcose 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, o = 12.566370614356 x 10 -7H/m. Magnitude of the Charge of one electron, e = - 1.60217662 x 10 -19 c. Mass of one electron, m. = 9.10938356 x 10 -31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, µc means micro coulomb. The flux oF = 19 N - m2/C through the open surface Å = 10i + 2j + 8k is given. Find the value of a if the electric field is E = - ai + 5k Value of "a" Give your answer up to at least three significance digits.
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