How to take the time derivative of a potential gradient ?

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Discussion Overview

The discussion revolves around the process of taking the time derivative of a potential gradient, specifically exploring the context of gravitational and electric potential gradients. Participants engage in clarifying the nature of the question and the assumptions involved.

Discussion Character

  • Exploratory, Conceptual clarification, Debate/contested

Main Points Raised

  • One participant expresses uncertainty about vector calculus and requests assistance with the time derivative of a potential gradient.
  • Another participant suggests that the time derivative of a gravitational gradient is practically zero and questions the necessity of a time rate of change for a gradient without additional context.
  • A later reply clarifies that the original question was not about gravitational gradients but rather electric potential gradients, prompting further inquiry into the rationale behind expecting a time rate of change.

Areas of Agreement / Disagreement

Participants do not reach a consensus, as there are competing views regarding the relevance and existence of a time rate of change for potential gradients.

Contextual Notes

The discussion lacks specific definitions and assumptions regarding the types of potential gradients being considered, which may affect the interpretation of their time derivatives.

Pet Scan
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I am not that great at vector calculus , etc.
Can someone show me how to take the time rate of change of a potential gradient? (Not homework)
Thx.
 
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Pet Scan said:
I am not that great at vector calculus , etc.
Can someone show me how to take the time rate of change of a potential gradient? (Not homework)
Thx.

Consider the gravity gradient above a planet. It's time derivative is practically zero. There is no a priori reason for a gradient to have a time rate of change.

So your question makes no sense without more information.
 
Just to clarify...I didn't say a gravitational gradient. How about an electric potential gradient?
 
Pet Scan said:
Just to clarify...I didn't say a gravitational gradient. How about an electric potential gradient?

OK, why do you think it has a time rate of change?
 

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