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!
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.
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.
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.
