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a) Explain what is meant by the following terms in electromagnetics: i) Electrical potential, ii) Electric flux density. b) How does Coulomb's law relate to probe charge? (Answer should not exceed 100 words) c) A charge of 30 nC is situated at the point (x, y, z) = (0, 1, 0) m and a charge of -30 nC at the point (0, -1, 0) m. Both charges are in free space. Determine: i) The electric field at the point P (2, -1, 2) m, ii) The electric flux density at the point P (2, -1, 2) m, iii) The electric force on a +10 nC charge at the point P (2, -1, 2) m.

a) Explain what is meant by the following terms in electromagnetics: i) Electrical potential, ii) Electric flux density. b) How does Coulomb's law relate to probe charge? (Answer should not exceed 100 words) c) A charge of 30 nC is situated at the point (x, y, z) = (0, 1, 0) m and a charge of -30 nC at the point (0, -1, 0) m. Both charges are in free space. Determine: i) The electric field at the point P (2, -1, 2) m, ii) The electric flux density at the point P (2, -1, 2) m, iii) The electric force on a +10 nC charge at the point P (2, -1, 2) m.

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1. a) Explain what is meant by the following terms in electromagnetics: Electrical potential, Electric flux density. i) ii) b) How does Coulomb's law relate to probe charge? (Answer should not exceed 100 words) c) A charge of 30 nC is situated at the point (x, y, z) = (0, 1, 0) m and a charge of -30 nC at the point (0, -1, 0) m. Both charges are in free space. Determine: i) The electric field at the point P (2, -1, 2) m, ii) The electric flux density at the point P (2, -1, 2) m, iii) The electric force on a +10 nC charge at the point P (2, -1, 2) m. d) i) ii) iii) A sphere of radius a contains a uniform charge Q distributed uniformly throughout its volume. How much charge is contained in a concentric sphere of radius r (where r <a)? Using the result from Q1.d)i) and Gauss's law, show that the magnitude of the electric field E within the sphere changes with radius r as Qr Απερα What is the direction of the electric field E?
Transcribed Image Text:1. a) Explain what is meant by the following terms in electromagnetics: Electrical potential, Electric flux density. i) ii) b) How does Coulomb's law relate to probe charge? (Answer should not exceed 100 words) c) A charge of 30 nC is situated at the point (x, y, z) = (0, 1, 0) m and a charge of -30 nC at the point (0, -1, 0) m. Both charges are in free space. Determine: i) The electric field at the point P (2, -1, 2) m, ii) The electric flux density at the point P (2, -1, 2) m, iii) The electric force on a +10 nC charge at the point P (2, -1, 2) m. d) i) ii) iii) A sphere of radius a contains a uniform charge Q distributed uniformly throughout its volume. How much charge is contained in a concentric sphere of radius r (where r <a)? Using the result from Q1.d)i) and Gauss's law, show that the magnitude of the electric field E within the sphere changes with radius r as Qr Απερα What is the direction of the electric field E?
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