What is the derivative of voltage with respect to time?

Answer 1

This only applies to Alternating Current. It is the inverse of the sin (or cos) wave form between the peak voltages.

Because AC voltage varies in a sinusoidal waveform, the derivative at any point is the cosine of the value.

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Answer 2

Well, when I think of derivative with respect to time I think of something changing and when voltage is involved I think of capacitors.

A capacitor is a device that can store charge #Q# when a voltage #V# is applied. This device has caracteristics (physical, geometrical) described by a constant called capacitance #C#.
The relationship between these quantities is: #Q(t)=C*V(t)#

If you derive with respect to time you get the current through the capacitor for a varying voltage:

#d/dtQ(t)=Cd/dtV(t)#
Where the derivative of #Q(t)# is the current, i.e.: #i(t)=Cd/dtV(t)# This equation tells you that when the voltage doesn’t change across the capacitor, current doesn’t flow; to have current flow, the voltage must change.

(I hope it helped)

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Answer 3

The derivative of voltage with respect to time is called the rate of change of voltage over time, commonly referred to as voltage's time derivative. Mathematically, it is denoted as dV/dt, where V represents voltage and t represents time. In physics and electrical engineering, this quantity describes how quickly the voltage changes with respect to time, indicating the instantaneous rate of change of voltage.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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