In a certain region of empty space, Ez = at, where a is a constant, but Ey and Ex are constant in time. a. What is the magnitude and direction of the magnetic curl in this region in terms of a? b. Suppose that, in this particular case, B always points in the +y direction and is zero on the x = 0 plane. Find By as a function of t, x, y, and z.  (Hint: the answer is By = Ɛ0μ0ax + C) c. Assume that a = 1000 (N/C) / s. What is the numerical rate at which By increases or decreases with increasing x at a given instant of time? Do the units make sense?

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Chapter11: Magnetic Forces And Fields
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In a certain region of empty space, Ez = at, where a is a constant, but Ey and Ex are constant in time.

a. What is the magnitude and direction of the magnetic curl in this region in terms of a?

b. Suppose that, in this particular case, B always points in the +y direction and is zero on the x = 0 plane. Find By as a function of t, x, y, and z.  (Hint: the answer is By = Ɛ0μ0ax + C)

c. Assume that a = 1000 (N/C) / s. What is the numerical rate at which By increases or decreases with increasing x at a given instant of time? Do the units make sense?

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