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URLhttps://brainly.in/question/15873856
Last Crawled2025-08-11 09:23:22 (8 months ago)
First Indexednot set
HTTP Status Code200
Meta Titleshow that E=V/d can you explain​ - Brainly.in
Meta DescriptionFind an answer to your question show that E=V/d can you explain​
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Explanation: The work done by the electric field in Figure 1 to move a positive charge q from A, the positive plate, higher potential, to B, the negative plate, lower potential, is W = −ΔPE = −qΔV. The potential difference between points A and B is −ΔV = −(VB − VA) = VA − VB = VAB. Entering this into the expression for work yields W = qVAB. Work is W = Fd cos θ; here cos θ = 1, since the path is parallel to the field, and so W = Fd. Since F = qE, we see that W = qEd. Substituting this expression for work into the previous equation gives qEd = qVAB. The charge cancels, and so the voltage between points A and B is seen to be { V AB = E d E = V AB d {VAB=EdE=VABd (uniform E − field only) where d is the distance from A to B, or the distance between the plates in Figure 1. Note that the above equation implies the units for electric field are volts per meter. We already know the units for electric field are newtons per coulomb; thus the following relation among units is valid: 1 N/C = 1 V/m. VOLTAGE BETWEEN POINTS A AND B { V AB = E d E = V AB d {VAB=EdE=VABd (uniform E − field only) where d is the distance from A to B, or the distance between the plates.
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[![Brainly.in](https://styleguide.brainly.in/images/logos/brainly-0eeb28be95.svg)](https://brainly.in/) ![akalambe51](https://hi-static.z-dn.net/files/dfd/ab8f401d5a359d0066ea9106774cd1ec.jpg) [akalambe51 akalambe51]() - 10\.03.2020 - [Physics](https://brainly.in/subject/physics) - [Secondary School](https://brainly.in/subject/physics/secondary_school) answered # Show that E=V/d can you explain​ See answers ![](https://brainly.in/app/img/ads/icon_placeholder.svg) Advertisement ![](https://brainly.in/app/img/ads/icon_placeholder.svg) Advertisement [reyaannjohn reyaannjohn]() **Answer:** i tried my best, hope it helps. **Explanation:** the definition of an electric field is F/q, where q is in the field, and the definition of electric potential is electrical potential energy divided by charge. E = F/q V = E/q W = Fd So by substitution, W = Eqd I want to get to E = V/d so I'll solve for E... E = W/qd So W/q is somehow equal to V? So W/q = E/q And by the work energy theorem, W = delta E, and the voltage in **E = V/d is in fact a potential difference.** ### ### ![](https://brainly.in/app/img/ads/icon_placeholder.svg) Advertisement ![](https://brainly.in/app/img/ads/icon_placeholder.svg) Advertisement ![mithilesh1890](https://hi-static.z-dn.net/files/d24/1892721e82f7c4f40dd3617693eceaeb.jpg) [mithilesh1890 mithilesh1890]() **Explanation:** The work done by the electric field in Figure 1 to move a positive charge q from A, the positive plate, higher potential, to B, the negative plate, lower potential, is W = −ΔPE = −qΔV. The potential difference between points A and B is −ΔV = −(VB − VA) = VA − VB = VAB. Entering this into the expression for work yields W = qVAB. Work is W = Fd cos θ; here cos θ = 1, since the path is parallel to the field, and so W = Fd. Since F = qE, we see that W = qEd. Substituting this expression for work into the previous equation gives qEd = qVAB. The charge cancels, and so the voltage between points A and B is seen to be { V AB \= E d E \= V AB d {VAB=EdE=VABd (uniform E − field only) where d is the distance from A to B, or the distance between the plates in Figure 1. Note that the above equation implies the units for electric field are volts per meter. We already know the units for electric field are newtons per coulomb; thus the following relation among units is valid: 1 N/C = 1 V/m. VOLTAGE BETWEEN POINTS A AND B { V AB \= E d E \= V AB d {VAB=EdE=VABd (uniform E − field only) where d is the distance from A to B, or the distance between the plates. ![](https://hi-static.z-dn.net/files/d15/f5d1a68c049c353e205f2dd2bdb4152d.jpg) ![](https://brainly.in/app/img/ads/icon_placeholder.svg) Advertisement ![](https://brainly.in/app/img/ads/icon_placeholder.svg) Advertisement ### ### ### New questions in Physics [Quantum Age Begins-Potentials and Challenges](https://brainly.in/question/62111766) [Quantum Age Begins- "Potentials and Challenges"​](https://brainly.in/question/62111765) [Explain how a normal human eye is able to see distinctly the object placed at a distance as well as those placed at a nearer distance. What is the far … point and near point of a normal human eye?(CBSE 2015​](https://brainly.in/question/62111738) [the maximum displacement or distance moved by a point ona a.......equilibrium position?​](https://brainly.in/question/62111717) [In a new system of unite led the units of face- 4 energy and verbally be 5N , 10J and 100 ms. suspectively. Then in this system. fic The unit of mass … is.](https://brainly.in/question/62111716) [Previous](https://brainly.in/question/15873855 "Previous") [Next](https://brainly.in/question/15873857 "Next") We're in the know ### Company - [Careers](https://careers.brainly.com/) - [Advertise with us](https://brainly.in/advertise) - Terms of Use - [Copyright Policy](https://brainly.in/copyright-policy) - [Privacy Policy](https://brainly.in/pages/privacy_policy) - Cookie Preferences ### Community - [Brainly Community](https://brainly.in/community) - [Brainly for Schools & Teachers](https://brainly.in/schools-and-teachers) - [Brainly for Parents](https://brainly.in/parents) - [Honor Code](https://brainly.in/honor-code) - [Community Guidelines](https://brainly.in/community-guidelines) - [Insights: The Brainly Blog](https://brainly.com/insights) - [Become a Volunteer](https://brainly.in/volunteers) ### Help - Signup - [Help Center](https://faq-hi.brainly.com/) - [Safety Center](https://brainly.in/safety-and-privacy) - [Responsible Disclosure Agreement](https://brainly.com/responsible-disclosure-program) ### Get the Brainly App [Download iOS App](https://apps.apple.com/in/app/id745089947) [Download Android App](https://play.google.com/store/apps/details?id=co.brainly&hl=en_IN) Brainly.in [PL: Brainly.pl](https://brainly.pl/) [RU: Znanija.com](https://znanija.com/) [ES: Brainly.lat](https://brainly.lat/) [PT: Brainly.com.br](https://brainly.com.br/) [FR: Nosdevoirs.fr](https://nosdevoirs.fr/) [TR: Eodev.com](https://eodev.com/) [RO: Brainly.ro](https://brainly.ro/) [ID: Brainly.co.id](https://brainly.co.id/) [PH: Brainly.ph](https://brainly.ph/) [US: Brainly.com](https://brainly.com/)
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Shard197 (laksa)
Root Hash4842892811724928397
Unparsed URLin,brainly!/question/15873856 s443