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ERRATA: Starting around 4:42, the equation for epsilon-nought, the permittivity of free space, is incorrect. The correct value is: 8.854 x 10⁻¹² F/m (farads per meter) or 8.85 x 10⁻¹² C2/Nm2 (Coulombs-squared/Newton x meters-squared) Thank you to the person who caught this and pointed it out in the comments. This voltage and gravitation video describes voltage with detailed equation-by-equation direct comparisons between electrostatic and gravitational field strength, force, and potential. The video clarifies signs, positive and negative, and attraction and repulsion with gravitational and electrostatic force. In addition, this video goes over the integrals defining potential energy and change in potential energy, in general and comparing it directly to electrostatic potential energy and voltage because the difference in potential energy becomes voltage. Finally, the detailed descriptions of electrostatic and gravitational equations clarify the various subscripts referring masses and charges in those equations. the use of vector notation This video supports and augments the discussion of voltage, current, voltage sources, and current sources found in Chapter 1 of this reference study guide book “First and Second Order Circuits and Equations – Technical Background and Insights, which is available from John Wiley & Sons ISBN: 978-1-119-91353-5 https://www.wiley.com/en-us/First+and... This video describes topics often covered in lower division physics courses introducing electricity and magnetism leading to lumped element circuits. And the “Volage and Gravitation Comparison Introduction” video makes a great reference study guide. 00:00 Introduction 00:14 Backwards Outline Volts from Fields 01:02 Electric and Gravitation Field Strength 01:37 Field Strength Quantities 02:30 Electrostatic and Gravitational Forces 03:46 Forces' Magnitudes Decrease with r 04:35 Forces Experienced Equations 05:31 Field Strength to Force 06:40 Change in Potential Energy from Force 07:41 Potential Energy and Work 08:11 Electr and Grav Potential Energy 09:09 Potential versus Potential Energy 09:39 Voltage is Potential Difference 10:27 Circuit Theory Book Reference 10:43 Summary Field Strength to Voltage