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Kenny is a student in engineering physics, he wants to study about the infinite long cable that has an insulating cylinder with radius a with uniform charge volume density 2p surrounded by a uniform conducting material with outer radius of 2a and zero total charge, as he drawn in Figure Q1.1. Ⓒ 2a Figure Q1.1 a) Using Gauss's law, find the electric field inside the insulating cylinder. Draw a Gaussian surface and indicate your choice of a coordinate system. b) Find the inner and outer charge surface density of the conducting cylinder, din and Tout. c) Determine the work required to move a charge qo from r;= 4a to rf = 1.57a where r is the distance from the cylindrical axis.

Kenny is a student in engineering physics, he wants to study about the infinite long cable that has an insulating cylinder with radius a with uniform charge volume density 2p surrounded by a uniform conducting material with outer radius of 2a and zero total charge, as he drawn in Figure Q1.1. Ⓒ 2a Figure Q1.1 a) Using Gauss's law, find the electric field inside the insulating cylinder. Draw a Gaussian surface and indicate your choice of a coordinate system. b) Find the inner and outer charge surface density of the conducting cylinder, din and Tout. c) Determine the work required to move a charge qo from r;= 4a to rf = 1.57a where r is the distance from the cylindrical axis.

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Kenny is a student in engineering physics, he wants to study about the infinite long cable that has an insulating cylinder with radius a with uniform charge volume density 2p surrounded by a uniform conducting material with outer radius of 2a and zero total charge, as he drawn in Figure Q1.1. 2a Figure Q1.1 a) Using Gauss's law, find the electric field inside the insulating cylinder. Draw a Gaussian surface and indicate your choice of a coordinate system. b) Find the inner and outer charge surface density of the conducting cylinder, oin and Tout. c) Determine the work required to move a charge qo from r₁ = 4a to rf = 1.57a where r is the distance from the cylindrical axis.
Transcribed Image Text:Kenny is a student in engineering physics, he wants to study about the infinite long cable that has an insulating cylinder with radius a with uniform charge volume density 2p surrounded by a uniform conducting material with outer radius of 2a and zero total charge, as he drawn in Figure Q1.1. 2a Figure Q1.1 a) Using Gauss's law, find the electric field inside the insulating cylinder. Draw a Gaussian surface and indicate your choice of a coordinate system. b) Find the inner and outer charge surface density of the conducting cylinder, oin and Tout. c) Determine the work required to move a charge qo from r₁ = 4a to rf = 1.57a where r is the distance from the cylindrical axis.
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