In Fig-1, there are two infinite planes A and B, parallel to YZ plane. Their surface charge densities are σA=34nC/m2 and σB=29nC/m2. The separation between the planes A and B is d=8m. Calculate the net electric field due to both the planes in unit vector notation in three regions shown in the Fig-1. a) (i) Find the electric field in unit vector notation in region I. x component of the electric field Give your answer to at least three significance digits. y component of the electric field Give your answer to at least three significance digits. (ii) Find the electric field in unit vector notation in region II. x component of the electric field Give your answer to at least three significance digits. y component of the electric field Give your answer to at least three significance digits. (iii) Find the electric field in unit vector notation in region III. x component of the electric field Give your answer to at least three significance digits. y component of the electric field Give your answer to at least three significance digits.

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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Part 1

In Fig-1, there are two infinite planes A and B, parallel to YZ plane. Their surface charge densities are σA=34nC/m2 and σB=29nC/m2. The separation between the planes A and B is d=8m. Calculate the net electric field due to both the planes in unit vector notation in three regions shown in the Fig-1.

a) (i) Find the electric field in unit vector notation in region I.

x component of the electric field

Give your answer to at least three significance digits.

y component of the electric field

Give your answer to at least three significance digits.

(ii) Find the electric field in unit vector notation in region II.

x component of the electric field

Give your answer to at least three significance digits.

y component of the electric field

Give your answer to at least three significance digits.

(iii) Find the electric field in unit vector notation in region III.

x component of the electric field

Give your answer to at least three significance digits.

y component of the electric field

Give your answer to at least three significance digits.


Part 2

Now, we place a conducting spherical shell of radius R=0.1d in between the planes. The spherical shell conductor carries a surface charge density σ=21μC/m2. The coordinates of the center(d/2,d/2,0), P1 (4d/5, 0, 0) and P2 (0, d/4, 0). Find the net electric field at point P1 and P2.

b) (i) Find the net electric field in unit vector notation at point P1.

x component of the electric field

Give your answer to at least three significance digits.

y component of the electric field

Give your answer to at least three significance digits.

(ii) Find the net electric field in unit vector notation at point P2.

x component of the electric field

Give your answer to at least three significance digits.

y component of the electric field

Give your answer to at least three significance digits.

Fig-2
Transcribed Image Text:Fig-2
Y
Fig-1
B
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Transcribed Image Text:Y Fig-1 B そ
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