Ampere-Maxwell Law: Voltage Application Explained

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The discussion focuses on the application of voltage between two metal cylinders in the context of the Ampere-Maxwell Law. The user questions whether the voltage V(t) is oscillating, as indicated by the sin(kt) term in the equation, or if it represents a steady current charging the capacitor. The relationship between charge Q, capacitance C, and voltage V(t) is highlighted, along with the derivation of current I(t) from the voltage. The conversation clarifies the nature of the voltage applied and its implications for the current in the system. Understanding these concepts is essential for grasping the behavior of cylindrical capacitors in electric fields.
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
 
I see. Thanks
 
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