Electrical Potential of a Conducting Sphere (or Shell)

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Physics Ninja looks at the derivation of the electrical potential of a conducting sphere. The electrical potential is found for points outside the sphere as well as for points inside the sphere. In Part 1 evaluate the integral for the potential difference. In Part 2 I integrate of the surface charge density.
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Thank you so much! This video was really helpful 🎉

aksh
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Hey i asked a doubt on cart collision with a spring in a video you posted a year ago. Can you pls ans my question as to why do we not take momentum of spring in those numericals while we are taking momentum of carts

iloveanime-qs
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Hey! I have a very silly doubt… what’s the difference between electric potential and electric potential difference?

aksh
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There's something that is driving me nuts and can't find the answer of anywhere. Since delta V is the line integral of E dot dr from infinity to r, and we are moving against the electric field going from infinity to r (assuming a positive charge), E dot dr should be -kqdr/r^2, not kqdr/r^2, which leaves an extra minus sign which would make V negative at the end. I know it's not supposed to be, but I can't figure out the solution of this issue and I looked everywhere

giovannipiacen
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but if its shell there is no potential in inside why you said sphere or shell on title?

osgwow
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Wow you made this more complicated than it needed to be.

sarubet