Ampere-Maxwell Law: Voltage Application Explained

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ronaldoshaky
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Hello to all. I am looking at an example in my book (again. =O)

The example has two metal cylinders with a distance, d between them

The problem states that a voltage V(t) is applied between the plates.

What do they mean by that?

(I thought it was an oscillating voltage, since they have a sin(kt) term in the V(t) equation. Is that different from the capacitor being charged at a constant rate by a steady current).
 
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Recall that the charge Q in a cylindrical capacitor is

Q(t) = C·V(t)

where C is the capacitance and V(t) is the applied voltage. differentiating, we get the current I(t):

I(t) = C·dV(t)/dt

Bob S