Capacitance of a Spherical Capacitor

In this video, I show how to derive the capacitance of a spherical capacitor of inner radius a and outer radius b, using Gauss' Law and the definition of electric potential and capacitance.
To support the creation of videos like these, get early access, access to a community, behind-the scenes and more, join me on patreon:
/ edmundsj
This is part of my series on introductory electromagnetism, where we explore one of the fundamental forces of nature - how your phone charges and communicates with the rest of the world, why you should be afraid of the sun, and the fundamentals of electric and magnetic forces and fields, voltages,

[@raphaels6207]

Great series! Have an exam in a couple of weeks so hoping for more!

[@drewkelly1955]

Thank you!

[@andrearaujo3618]

Hello. Thanks for the video. I still have a dought. In dr=r^.dr, which dr is the vector? Isn't it the right one (and not the left one)?