Answered: Charge q1 = 1.50 nC is at x1 = 0 and…

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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Charge q₁ = 1.50 nC is at x₁ = 0 and charge q₂ = 5.00 nC is at x₂ = 4.00 m. At what point between the two charges is the electric field equal to zero? (Enter the x coordinate in m.)

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$L e t P b e t h e p o i n t a t w h i c h t h e e l e c t r i c f i e l d i s z e r o b e a t a d i s \tan c e o f " x " f r o m c h a r g e q_{1} a n d \sin c e t h e d i s \tan c e b e t w e e n c h a r g e q_{1} a n d q_{2} i s 4 m, h e n c e t h e d i s \tan c e b e t w e e n P o i n t P a n d c h a r g e q_{2} i s (4 - x) T h e e l e c t r i c f i e l d a t p o i n t P d u e t o c h a r g e q_{1} i s g i v e n b y : E_{1} = \frac{k q_{1}}{x^{2}} . . . . . . . (1) w h e r e, k i s c o u l o m b' s c o n s \tan t q_{1} i s t h e c h a r g e x i s t h e d i s \tan c e b e t w e e n p o i n t P a n d c h a r g e q_{1} E i s t h e e l e c t r i c f i e l d b y c h a r g e q_{1} S I m i l a r l y, T h e e l e c t r i c f i e l d a t p o i n t P d u e t o c h a r g e q_{2} i s g i v e n b y : E_{2} = \frac{k q_{2}}{{(4 - x)}^{2}} . . . . . . . (2) w h e r e, k i s c o u l o m b' s c o n s \tan t q_{2} i s t h e c h a r g e (4 - x) i s t h e d i s \tan c e b e t w e e n p o i n t P a n d c h a r g e q_{2} E i s t h e e l e c t r i c f i e l d b y c h a r g e q_{2}$

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