https://gdpark.blog/series/electromagnetism-i-studied/Recent content in Electromagnetism I Studied on gdpark.blogHugoenMon, 29 Dec 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-02-gauss-s-law/Fri, 14 Nov 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-02-gauss-s-law/A super easy breakdown of Gauss&rsquo;s law using a soy-sauce-flinging analogy — because electric field lines and flux really don&rsquo;t have to be scary, okay?!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.https://gdpark.blog/posts/electromagnetism-12-electric-displacement/Wed, 19 Nov 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-12-electric-displacement/We define the electric displacement vector D to neatly separate the total electric field from polarization effects inside a dielectric — turns out it plays really nicely with Gauss&rsquo;s law!https://gdpark.blog/posts/electromagnetism-13-linear-dielectrics/Wed, 19 Nov 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-13-linear-dielectrics/We dig into linear dielectrics, untangling how polarization P, electric susceptibility χₑ, permittivity ε, and the displacement field D all connect!https://gdpark.blog/posts/electromagnetism-14-linear-dielectrics-part-2/Mon, 22 Dec 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-14-linear-dielectrics-part-2/Why even bother stuffing a dielectric in a capacitor? Turns out it bumps up the capacitance — and Venom-Spider-Man definitely has the cushier gig because of it!https://gdpark.blog/posts/electromagnetism-15-lorentz-force-and-magnetostatics/Tue, 23 Dec 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-15-lorentz-force-and-magnetostatics/Charges gotta move to make magnetism, and the total force they feel from electric and magnetic fields together? That&rsquo;s the Lorentz force!https://gdpark.blog/posts/electromagnetism-16-the-biot-savart-law/Thu, 25 Dec 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-16-the-biot-savart-law/We &lsquo;discovered&rsquo; the Biot-Savart law — the equation that tells us exactly how big a magnetic field gets around a current-carrying wire, then worked through some examples hehe~https://gdpark.blog/posts/electromagnetism-17-amp-re-s-law/Fri, 26 Dec 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-17-amp-re-s-law/If electrostatics has Gauss&rsquo;s law then magnetostatics has Ampère&rsquo;s law — the line integral of B around any closed loop just equals μ₀i_in, hehe!https://gdpark.blog/posts/electromagnetism-18-amp-re-s-law-part-2/Sat, 27 Dec 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-18-amp-re-s-law-part-2/Let&rsquo;s actually work through Ampère&rsquo;s law problems — infinite wires, surface currents, and why symmetry is the magic keyword that makes everything ridiculously easy!https://gdpark.blog/posts/electromagnetism-19-magnetic-vector-potential/Sun, 28 Dec 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-19-magnetic-vector-potential/A pinwheel-and-wind intuition-building session on why B=∇×A actually makes sense, explained in the most chaotic-but-fun way possible.https://gdpark.blog/posts/electromagnetism-20-magnetic-fields-in-matter/Mon, 29 Dec 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-20-magnetic-fields-in-matter/Chapter 6 is basically Chapter 4 all over again — once you survived polarization density, the magnetic dipole moment stuff practically explains itself!https://gdpark.blog/posts/electromagnetism-21-the-auxiliary-field-h/Mon, 29 Dec 2014 00:00:00 +0000https://gdpark.blog/posts/electromagnetism-21-the-auxiliary-field-h/Just like D handles free charges in electrostatics, H is the magnetic field due to free currents — saving us from infinite microscopic madness!