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Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C¥acuum permitivity, eo = 8.854 × 10-12 F/rMagnetic Permeability of vacuum, µo = 12.566370614356 × 10–7 H/rMagnitude of the Charge of one electron, e = -1.60217662 × 10¬19 (Mass of one 9.10938356 × 10-31 kgUnless specified otherwise, each symbol carries their usual meaning. For example, µCmeans micro coulomb electron, me It S is a subset but not a subspace of the vector space v , still then span (S)s a subspace of v. {0}is the only trivial subspace of the vector space V. | span (S)s always the smallest subset of the vector space V containing the set S. If S = span (S}hen S must be a subspace of the vector: space V. If there is a linear combination of some proper subset of S to form the zero vector, then it must be linearly independent. P. Fig.1 Fig.2 Say you have an infinite sheet lying on the yz plane. A point pi is located at (–14, –17,–16This 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 ơ1 = -10 µC/m² magnitude of the electric field Give your answer up to at least three significance digits. N/C N

Use the following constants if necessary. Coulomb constant, k = 8.987 × 10º N · m² /C¥acuum permitivity, eo = 8.854 × 10-12 F/rMagnetic Permeability of vacuum, µo = 12.566370614356 × 10–7 H/rMagnitude of the Charge of one electron, e = -1.60217662 × 10¬19 (Mass of one 9.10938356 × 10-31 kgUnless specified otherwise, each symbol carries their usual meaning. For example, µCmeans micro coulomb electron, me It S is a subset but not a subspace of the vector space v , still then span (S)s a subspace of v. {0}is the only trivial subspace of the vector space V. | span (S)s always the smallest subset of the vector space V containing the set S. If S = span (S}hen S must be a subspace of the vector: space V. If there is a linear combination of some proper subset of S to form the zero vector, then it must be linearly independent. P. Fig.1 Fig.2 Say you have an infinite sheet lying on the yz plane. A point pi is located at (–14, –17,–16This 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 ơ1 = -10 µC/m² magnitude of the electric field Give your answer up to at least three significance digits. N/C N

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-12 Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N · m² /CVacuum permitivity, €o = 8.854 × 10 Permeability of vacuum, µo = F/nMagnetic 12.566370614356 × 10–7 H/nMagnitude of the Charge of one electron, e = -1.60217662 × 10¬19 CMass of one 9.10938356 × 10¬31 kgUnless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb electron, me = | |If S is a subset but not a subspace of the vector space V , still then span (5 )s a subspace of V . {0} is the only trivial subspace of the vector space V. span (S)s always the smallest subset of the vector space V containing the set S. If S = span (Sthen S must be a subspace of the vector space V. If there is a linear combination of some proper subset of S to form the zero vector, then it must be linearly independent. Pi Fig.1 Fig. 2 Say you have an infinite sheet lying on the yz plane. A point p1 is located at (-14, –17, – 16Jhis 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 Pı if the charge density of the sheet is o1 -10 μC/m? magnitude of the electric field Give your answer up to at least three significance digits. N/C N
Transcribed Image Text:-12 Use the following constants if necessary. Coulomb constant, k = 8.987 × 10° N · m² /CVacuum permitivity, €o = 8.854 × 10 Permeability of vacuum, µo = F/nMagnetic 12.566370614356 × 10–7 H/nMagnitude of the Charge of one electron, e = -1.60217662 × 10¬19 CMass of one 9.10938356 × 10¬31 kgUnless specified otherwise, each symbol carries their usual meaning. For example, µC means micro coulomb electron, me = | |If S is a subset but not a subspace of the vector space V , still then span (5 )s a subspace of V . {0} is the only trivial subspace of the vector space V. span (S)s always the smallest subset of the vector space V containing the set S. If S = span (Sthen S must be a subspace of the vector space V. If there is a linear combination of some proper subset of S to form the zero vector, then it must be linearly independent. Pi Fig.1 Fig. 2 Say you have an infinite sheet lying on the yz plane. A point p1 is located at (-14, –17, – 16Jhis 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 Pı if the charge density of the sheet is o1 -10 μC/m? magnitude of the electric field Give your answer up to at least three significance digits. N/C N
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