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In a certain region of empty space, Ez=at (where a is a 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) Suppose that, in this particular case, B̅ 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. (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?

In a certain region of empty space, Ez=at (where a is a 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) Suppose that, in this particular case, B̅ 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. (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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In a certain region of empty space, Ez=at (where a is a 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) Suppose that, in this particular case, B̅ 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.

(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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