How to take the time derivative of a potential gradient ?

AI Thread Summary
To take the time derivative of a potential gradient, one must consider the specific context, such as whether it pertains to gravitational or electric potential gradients. The time derivative of a gravity gradient is often negligible, suggesting that gradients may not inherently change over time. The discussion emphasizes the need for additional information to clarify the conditions under which a potential gradient might have a time rate of change. The inquiry into electric potential gradients raises further questions about the assumptions behind their variability. Understanding the specifics is crucial for accurately addressing the time derivative of any potential gradient.
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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