Electric Potential Difference using Integrals

[@DatOverDer]

i am self studying E&M and you are a lifesaver

[@mrwilliamsphysics]

Hello, Thanks for all of your videos, I really appreciate the depth and detail you put into these videos. Can you help me out with how you have a negative integral at 1:36 in the video, but on the AP C formula sheet it is the exact same equation with no negative sign on the 9th equation on the left hand side. Any thoughts would be appreciated, thanks!

[@FlippingPhysics]

Hmm. I have a difficult time answering your question. The equation at 1:36 in the upper right of the screen is not the same as the 9th equation on the left hand side of the equation sheet. My equation is for electric potential _energy_ difference. The equation on the equation sheet you refer to is for electric potential difference. Also, the equation you refer to on the equation sheet does have a negative in it. Also, the equation you refer to on the equation sheet is one I derive in this video, you can see it at 8:22. Yeah, not really sure how to help you out here.

[@arpanpiano]

For an electron, if the change in potential energy, Delta U, is positive, would the electric potential difference, Delta V, be negative? Since V = U / q and for an electron, q < 0.

[@FlippingPhysics]

Electric potential difference is independent of the charge. For the a given situation using a positive charge, if ΔU and q are both positive, then ΔV is positive. For the same situation using a negative charge, both ΔU and q would be negative, also resulting in a positive ΔV.

[@BRYDN_NATHAN]

thank you excellent study...

[@FlippingPhysics]

You are most welcome

[@Thelearninglouge]

@@FlippingPhysicswhy are you videos as underated

[@mtb_zen89]

great video - wish my prof could get his $#@% together and teach like this. all he does is scribble on PP slides