In a given region of empty space, By = B0 * e-t / T (where B0 and T are constants), but Bx and Bz are constant in time. a. What is the magnitude and direction of the electric curl of that region in terms of B0, T, and time t? b. Assume that Evector always points in the +x direction and is zero at z = 0. Find Ex as a function of position and time. [Hint: the answer is B0 * e-t / T * (z / T) + C] c. Check that the units of your expression make sense.
In a given region of empty space, By = B0 * e-t / T (where B0 and T are constants), but Bx and Bz are constant in time. a. What is the magnitude and direction of the electric curl of that region in terms of B0, T, and time t? b. Assume that Evector always points in the +x direction and is zero at z = 0. Find Ex as a function of position and time. [Hint: the answer is B0 * e-t / T * (z / T) + C] c. Check that the units of your expression make sense.
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 7PQ: A positively charged sphere and a negatively charged sphere are in a sealed container. The only way...
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In a given region of empty space, By = B0 * e-t / T (where B0 and T are constants), but Bx and Bz are constant in time.
a. What is the magnitude and direction of the electric curl of that region in terms of B0, T, and time t?
b. Assume that Evector always points in the +x direction and is zero at z = 0. Find Ex as a function of position and time. [Hint: the answer is B0 * e-t / T * (z / T) + C]
c. Check that the units of your expression make sense.
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