5.4.1 The Vector Potential

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5.4.1 of Griffith's Introduction to Electrodynamics 2nd Ed

The Magnetic Vector Potential A.

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Real Physics

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Although the language of the book is mesmerizing, I was finding it a bit difficult to fully understand the concept of magnetic vector potential by only reading the texts off the book. Just when I was looking for someone who could narrate to me what Griffiths was trying to convey, I found this video of yours. Thank you for this man.

whovikrantsingh

Unfortunately, the book is so perfect I can't think of anything to add or subtract.

If there's confusion on a particular point, please bring it up so I can address it, perhaps by re-doing the video.

jg

A vector is used in calculating power radiated by Antennas
It is useful.

sanjaybisht

Hey JG, a quick question: it seems arbitrary to me that we decided to "pick" a function A that is divergenceless (ie. div A = 0) when we could have picked a function A whose Laplacian is 0. Meaning, instead of solving for Poisson's equation we solve for Laplace's equation - is the latter more difficult to solve?

bojingjia

Do you sacrifice anything for setting the divergence of A to 0?

patrickjdarrow

Maybe you could add the derivation of the identity for the second derivative at 1:45. That is not clear at all why this is true and it is not derived in the book, just stated as a theorem in the beginning.

SWiSHRoyal

Hi. I feel like the theorems in the book are sloppily stated. Could you please give a mathematically rigorous statement of the theorems? (Rigorous enough to satisfy a pure mathematician.) I feel like hypotheses are missing.... If you can, then I'll appreciate it.

jose

I could not exactly understand why A' is divergenless @4:40. Pl help.

ananditasharma

The scratching noise by pen is really uncomfortable

luqing

1. Why do we want B=curl A ? I know div curl is zero but can we chose other form of potential not necessarily satisfy this
2. How does potential not going to zero at infinity, causes the change of A? Can't see a direct link here

yuanyuansun

Stop reading the book's exact words and please explain it in your own language . Using simple terms and way . Also it would be more helpful if you could solve the problems given in the book, rather than solving the solved examples.

sindhukmr