Charged Rod Electric Field

This example finds the electric field at point P, located a distance "a" from the left end of a thin, uniformly charged rod with charge Q, linear charge density λ, and length L. Starting from the general continuous-charge-distribution equation, the video substitutes dq = λdx and integrates from x = a to x = a + L to solve for the electric field, which points in the negative i direction. It closes by showing that when the distance to point P is much larger than the length of the rod, the equation simplifies to the same electric field equation as a point charge, showing that a charged rod looks just like a point charge from far enough away. Want Lecture Notes? http://www.flippingphysics.com/charged-rod-electric-field.html Chapters: 0:00 Understanding the Example 1:05 Solving for the Electric Field 4:17 It acts like a point charge!! Next Video: Thin Ring Electric Field http://www.flippingphysics.com/thin-ring-electric-field.html Thank you to Beth Baran, and the rest of my wonderful Patreon supporters. Please consider supporting me monthly at http://patreon.com/FlippingPhysics Thank you to John Paul Nichols, Carl Hansen, and Julie Langenbrunner for being my Quality Control Team for this video. http://flippingphysics.com/quality-control.html Gracias a Jeffrey Marbid y Gisela Burguera por editar las traducciones al español de este video. This video has been dubbed into Spanish (United States) using an artificial voice via https://aloud.area120.google.com to increase accessibility. You can change the audio track language in the Settings menu. #ElectricField #ChargedRod #PointCharge Curriculum Standards: AP Physics C: E&M, Unit 8 Electric Charges, Fields, and Gauss's Law, Topic 8.4 Electric Field of Charge Distributions 8.4.A.1: "Expressions for the electric field of specified charge distributions can be found using integration and the principle of superposition." 8.4.A.2: "Symmetry considerations of certain charge distributions can simplify analysis of the electric field resulting from those charge distributions." JEE Main Physics / NEET Physics, Unit 11: Electrostatics "Electric charges: conservation of charge, Coulomb's law forces between two point charges, forces between multiple charges, superposition principle and continuous charge distribution." MCAT, 4C Electrochemistry and Electrical Circuits and Their Elements, Electrostatics (PHY) Electrostatics (PHY) [Field due to Charge Distribution]: "Field due to charge distribution."