Part 1 In Fig-1, there are two infinite planes A and B, parallel to YZ plane. Their surface charge densities are o4 = 34 nC/m² and og = 29 nC/m². The separation between the planes A and B is d= 8 m. 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. z component of the electric field Give your answer to at least three significance digits. N/C y component of the electric field Give your answer to at least three significance digits. N/C (ii) Find the electric field in unit vector notation in region II. z component of the electric field Give your answer to at least three significance digits. N/C y component of the electric field Give your answer to at least three significance digits. N/C (iii) Find the electric field in unit vector notation in region III.

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Chapter25: Gauss’s Law
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Fig-1
III
A
Part 1
In Fig-1, there are two infinite planes A and B, parallel to YZ plane. Their surface charge densities are o = 34 nC/m? and or = 29 nC/m². The
separation between the planes A and B is d = 8 m. 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.
I component of the electric field
Give your answer to at least three significance digits.
N/C
y component of the electric field
Give your answer to at least three significance digits.
N/C
(ii) Find the electric field in unit vector notation in region II.
I component of the electric field
Give your answer to at least three significance digits.
N/C
y component of the electric field
Give your answer to at least three significance digits.
N/C
(iii) Find the electric field in unit vector notation in region III.
I component of the electric field
Give your answer to at least three significance digits.
N/C
Transcribed Image Text:Fig-1 III A Part 1 In Fig-1, there are two infinite planes A and B, parallel to YZ plane. Their surface charge densities are o = 34 nC/m? and or = 29 nC/m². The separation between the planes A and B is d = 8 m. 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. I component of the electric field Give your answer to at least three significance digits. N/C y component of the electric field Give your answer to at least three significance digits. N/C (ii) Find the electric field in unit vector notation in region II. I component of the electric field Give your answer to at least three significance digits. N/C y component of the electric field Give your answer to at least three significance digits. N/C (iii) Find the electric field in unit vector notation in region III. I component of the electric field Give your answer to at least three significance digits. N/C
y component of the electric field
Give your answer to at least three significance digits.
N/C
Part 2
Fig-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
o = 21 µC/m?. The coordinates of the center (d/2,d/2,0), P, (4d/5, 0, 0) and P, (0, d/4, 0). Find the net electric field at point P, and P,.
b) (i) Find the net electric field in unit vector notation at point P.
I component of the electric field
Give your answer to at least three significance digits.
N/C
y component of the electric field
Give your answer to at least three significance digits.
N/C
(ii) Find the net electric field in unit vector notation at point P.
I component of the electric field
Give your answer to at least three significance digits.
N/C
y component of the electric field
Give your answer to at least three significance digits.
N/C
Transcribed Image Text:y component of the electric field Give your answer to at least three significance digits. N/C Part 2 Fig-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 o = 21 µC/m?. The coordinates of the center (d/2,d/2,0), P, (4d/5, 0, 0) and P, (0, d/4, 0). Find the net electric field at point P, and P,. b) (i) Find the net electric field in unit vector notation at point P. I component of the electric field Give your answer to at least three significance digits. N/C y component of the electric field Give your answer to at least three significance digits. N/C (ii) Find the net electric field in unit vector notation at point P. I component of the electric field Give your answer to at least three significance digits. N/C y component of the electric field Give your answer to at least three significance digits. N/C
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