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c) A positive charge q initially at rest is placed at point P. The charge is released and is pushed by the E field towards infinity. Show that the work done by the electric field is W = 2kQq √d²+x² cord

c) A positive charge q initially at rest is placed at point P. The charge is released and is pushed by the E field towards infinity. Show that the work done by the electric field is W = 2kQq √d²+x² cord

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Use the given information to solve part C

Two equal positive point charges are placed on the y axis a distance d above and below the x axis as shown below. ^ Q₁ = Qa KQ R +Q1 {₁+= d d √² +²1 X +0/2 a) Draw the electric field at point P in the diagram above due to both charges. b) Prove that the electric field at point P is given by E = Ex + Ey Ē = 4. G₁ = E₂x + ₁x 2kQx (d²+x²)3/2 501 cost xatda W = E2x = √ KQ ₂ (x²+d² î Cosa 2kQq √d²+x² P ں 2019 55 55 Ex: a na (ose ana (12) JAQ xatola X² Hold = 2KQX 4 (x²+18²) 3/2 î Sohcoh toA 2 (ose: X √xando c) A positive charge q initially at rest is placed at point P. The charge is released and is pushed by the E field towards infinity. Show that the work done by the electric field is totor x²² (²³) (x³ +d ²) ³/2
Transcribed Image Text:Two equal positive point charges are placed on the y axis a distance d above and below the x axis as shown below. ^ Q₁ = Qa KQ R +Q1 {₁+= d d √² +²1 X +0/2 a) Draw the electric field at point P in the diagram above due to both charges. b) Prove that the electric field at point P is given by E = Ex + Ey Ē = 4. G₁ = E₂x + ₁x 2kQx (d²+x²)3/2 501 cost xatda W = E2x = √ KQ ₂ (x²+d² î Cosa 2kQq √d²+x² P ں 2019 55 55 Ex: a na (ose ana (12) JAQ xatola X² Hold = 2KQX 4 (x²+18²) 3/2 î Sohcoh toA 2 (ose: X √xando c) A positive charge q initially at rest is placed at point P. The charge is released and is pushed by the E field towards infinity. Show that the work done by the electric field is totor x²² (²³) (x³ +d ²) ³/2
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Step 1: Draw the electric field at P

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