https://gdpark.blog/tags/electrostatics/Recent content in Electrostatics on gdpark.blogHugoenTue, 18 Nov 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-01-electrostatics/Fri, 14 Nov 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-01-electrostatics/Kicking off electromagnetism with electrostatics — what static electricity actually <em>is</em>, why charges sit still, and diving straight into Coulomb&rsquo;s law!https://gdpark.blog/posts/electromagnetism-03-electric-potential/Fri, 14 Nov 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-03-electric-potential/We dig into electric potential — why curl = 0 lets you define a scalar potential, how E = -∇V falls out of that, and a sneak peek at Poisson&rsquo;s equation~https://gdpark.blog/posts/electromagnetism-04-electric-potential-part-2/Fri, 14 Nov 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-04-electric-potential-part-2/We drag charges into empty space one by one, tally up all the work it takes, and land on a slick double-sum formula for total potential energy!https://gdpark.blog/posts/electromagnetism-05-electrostatics-in-conductors/Sat, 15 Nov 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-05-electrostatics-in-conductors/A casual walkthrough of why E = 0 inside ideal conductors, how charges spread to the outer surface, and how to handle a nested conductor sphere problem!https://gdpark.blog/posts/electromagnetism-06-laplace-s-equation/Sat, 15 Nov 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-06-laplace-s-equation/Chapter 3 kicks off with Poisson&rsquo;s and Laplace&rsquo;s equations — what you get when you plug ∇V into Gauss&rsquo;s law and let the charge density go to zero.https://gdpark.blog/posts/electromagnetism-07-the-method-of-images/Sun, 16 Nov 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-07-the-method-of-images/A breezy walkthrough of the image method — a clever trick for finding the electric potential above a grounded conducting plane by sneaking in imaginary charges.https://gdpark.blog/posts/electromagnetism-08-separation-of-variables/Mon, 17 Nov 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-08-separation-of-variables/Assuming V(x,y) = X(x)·Y(y) and hoping for the best — here&rsquo;s how separation of variables lets us crack Laplace&rsquo;s equation step by step!https://gdpark.blog/posts/electromagnetism-09-multipole-expansion/Mon, 17 Nov 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-09-multipole-expansion/Ever wondered what a bunch of charges look like from suuuper far away? Turns out you can approximate the whole mess as a monopole, dipole, quadrupole, and beyond!https://gdpark.blog/posts/electromagnetism-10-polarization/Tue, 18 Nov 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-10-polarization/Diving into how atoms and dielectrics respond to electric fields — getting polarized, forming tiny dipole moments, and what that α actually means!https://gdpark.blog/posts/electromagnetism-11-bound-charge-density/Tue, 18 Nov 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-11-bound-charge-density/Working through why σ_b = P·n̂ and ρ_b = −∇·P actually make sense, using a hands-on geometric argument about sliced-up polarized volumes.