Say you have an infinite sheet lying on the yz plane. A point pi is located at (-12, 7, -5). This is shown in figure (Fig. 1). and (Fig. 2). Note that both figure represent the same thing in 3D (Fig. 1) or in 2D (Fig. 2). And in 2D diagram the Y axis represents the infinit sheet. Note : All coordinates in this problem are in centi meters. a) Find the magnitude of the electric field due to the sheet at p1 if the charge density of the sheet is o1 = -28 µC/m2. magnitude of the electric field Give your answer up to at least three significance digits.

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Solve a,b & c.
* Pu
2R
K
2R
Fig. 3
b) Say we place a spherical shell of radius R = 6 cm at point p2 (5, 11, –12). We get electric field of magnitude
Eshell = 48 x 104 N/C at point p3 (17, 11, –7) due to only the shell (Fig. 3). Find the magnitude of total charge on the surface
of the shell.
magnitude of total charge (absolute value)
Give your answer up to at least three significance digits.
C
c) Considering the total charge on the shell to be negative find the magnitude of the net E-field at point p4 (5, 23, –12)
magnitude of net E-field at point p4
Give your answer up to at least three significance digits.
N/C
d) If we choose a spherical Gaussian surface of radius R/2 at point p3 then what would be the net flux through it? Briefly explain
your answer. [This is a non-numerical question and you have to answer it accordingly in your PDF]
Transcribed Image Text:* Pu 2R K 2R Fig. 3 b) Say we place a spherical shell of radius R = 6 cm at point p2 (5, 11, –12). We get electric field of magnitude Eshell = 48 x 104 N/C at point p3 (17, 11, –7) due to only the shell (Fig. 3). Find the magnitude of total charge on the surface of the shell. magnitude of total charge (absolute value) Give your answer up to at least three significance digits. C c) Considering the total charge on the shell to be negative find the magnitude of the net E-field at point p4 (5, 23, –12) magnitude of net E-field at point p4 Give your answer up to at least three significance digits. N/C d) If we choose a spherical Gaussian surface of radius R/2 at point p3 then what would be the net flux through it? Briefly explain your answer. [This is a non-numerical question and you have to answer it accordingly in your PDF]
Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N · m² /C?. Vacuum permitivity,
€0 = 8.854 x 10-12 F/m. Magnetic Permeability of vacuum, µo = 12.566370614356 × 10-7 H/m. Magnitude of the Charge
of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, me = 9.10938356 × 10-31 kg. Unless specified
otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb .
Pi
Fig.1
Fig. 2
Say you have an infinite sheet lying on the yz plane. A point pi is located at (-12, 7, –5). This is shown in figure (Fig. 1). and (Fig.
2). Note that both figure represent the same thing in 3D (Fig. 1) or in 2D (Fig. 2). And in 2D diagram the Y axis represents the infinite
sheet.
Note : All coordinates in this problem are in centi meters.
a) Find the magnitude of the electric field due to the sheet at p1 if the charge density of the sheet is o1 = -28 µC/m².
magnitude of the electric field
Give your answer up to at least three significance digits.
N/C
N
Transcribed Image Text:Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N · m² /C?. Vacuum permitivity, €0 = 8.854 x 10-12 F/m. Magnetic Permeability of vacuum, µo = 12.566370614356 × 10-7 H/m. Magnitude of the Charge of one electron, e = -1.60217662 × 10¬19 C. Mass of one electron, me = 9.10938356 × 10-31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb . Pi Fig.1 Fig. 2 Say you have an infinite sheet lying on the yz plane. A point pi is located at (-12, 7, –5). This is shown in figure (Fig. 1). and (Fig. 2). Note that both figure represent the same thing in 3D (Fig. 1) or in 2D (Fig. 2). And in 2D diagram the Y axis represents the infinite sheet. Note : All coordinates in this problem are in centi meters. a) Find the magnitude of the electric field due to the sheet at p1 if the charge density of the sheet is o1 = -28 µC/m². magnitude of the electric field Give your answer up to at least three significance digits. N/C N
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