The electric potential Vin the space between two flat parallel plates 1 and 2 is given (in volts) by V = 1200x², where x (in meters) isthe perpendicular distance from plate 1. At x = 1.1 cm, (a) what is the magnitude of the electric field and (b) is the field directedtoward or away from plate 1?(a)iN/C(b)>

Answered: The electric potential Vin the space…

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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The electric potential Vin the space between two flat parallel plates 1 and 2 is given (in volts) by V = 1200x², where x (in meters) is
the perpendicular distance from plate 1. At x = 1.1 cm, (a) what is the magnitude of the electric field and (b) is the field directed
toward or away from plate 1?
(a)
i
N/C
(b)
>

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Step 1

$(a) G i v e n t h a t p o t e n t i a l, V = 1200 X^{2} V o l t s T h e n e l e c t r i c f i e l d, E = - \frac{d V}{d X} E = - \frac{d (1200 X^{2})}{d X} E = - 1200 \times 2 X = - 2400 X . . . . . . . . . . . . (1) p u t, X = 1.1 \times 10^{- 2} m i n e q u a t i o n (1) w e g e t e l e c t r i c f i e l d, E = - 2400 \times 1.1 \times 10^{- 2} = - 26.4 V / m (- v e s i g n s h o w s t h e d i r e c t i o n o f f i e l d b e t w e e n t h e p l a t e s s o n e e d t o p u t) s o, E = 26.4 V / m$

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