Ampere-Maxwell Law: Voltage Application Explained

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The discussion centers on the application of voltage V(t) between two metal cylinders in the context of the Ampere-Maxwell Law. The voltage is described as potentially oscillating due to the presence of a sin(kt) term in the equation, which distinguishes it from a constant charging scenario. The relationship between charge Q(t), capacitance C, and applied voltage V(t) is established, leading to the derivation of current I(t) through differentiation. This highlights the dynamic nature of the system under varying voltage conditions.

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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
 
I see. Thanks
 

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