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E16M.3 In a certain region of empty space, Bz = at (where a is a 1 - constant with units of N.C¯¹m¯¹), but Bx = By = 0. (a) What is the magnitude and direction of the electric curl at that point in terms of a? (b) Assume that Ẻ always points in the +x direction and is zero at y = 0. Find Ex as a function of position and time. (c) Suppose that a = 1.0 T/s. What is the numerical rate at which Ex increases or decreases with y at a given instant of time? Do the units make sense?

E16M.3 In a certain region of empty space, Bz = at (where a is a 1 - constant with units of N.C¯¹m¯¹), but Bx = By = 0. (a) What is the magnitude and direction of the electric curl at that point in terms of a? (b) Assume that Ẻ always points in the +x direction and is zero at y = 0. Find Ex as a function of position and time. (c) Suppose that a = 1.0 T/s. What is the numerical rate at which Ex increases or decreases with y at a given instant of time? Do the units make sense?

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter34: Maxwell’s Equations And Electromagnetic Waves
Section: Chapter Questions
Problem 7PQ
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E16M.3 In a certain region of empty space, Bz = at (where a is a 1 - constant with units of N.C¯¹m¯¹), but Bx = By = 0. (a) What is the magnitude and direction of the electric curl at that point in terms of a? (b) Assume that Ẻ always points in the +x direction and is zero at y = 0. Find Ex as a function of position and time. (c) Suppose that a = 1.0 T/s. What is the numerical rate at which Ex increases or decreases with y at a given instant of time? Do the units make sense?
Transcribed Image Text:E16M.3 In a certain region of empty space, Bz = at (where a is a 1 - constant with units of N.C¯¹m¯¹), but Bx = By = 0. (a) What is the magnitude and direction of the electric curl at that point in terms of a? (b) Assume that Ẻ always points in the +x direction and is zero at y = 0. Find Ex as a function of position and time. (c) Suppose that a = 1.0 T/s. What is the numerical rate at which Ex increases or decreases with y at a given instant of time? Do the units make sense?
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