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1) In figure (top view of the cylinders), a solid conducting cylinder with radius a =3 cm is given, whose rotation axis is z-axis, and center is at the origin. It is concentric with a hollow cylindrical conductor of inner radius b = 5 cm and outer radius c = 6 cm. Both cylinders have L = 5 m length which can be assumed to be infinitely long. The solid cylinder has total net charge of Qi = 5 nC. The hollow cylinder has net charge Q2 = 10 nC. The reference voltage at the radial distance of p = 8 cm is given as V = -10 Volts. The medium except conductors is free-space. a) What are the voltage values at p= 2, 4 and 5.5 cm? b) What is the total stored electrostatic potential energy due to the charges in the figure? Hint: For surface charge densities, W, =Je.v ds where V is voltage on the source points.

1) In figure (top view of the cylinders), a solid conducting cylinder with radius a =3 cm is given, whose rotation axis is z-axis, and center is at the origin. It is concentric with a hollow cylindrical conductor of inner radius b = 5 cm and outer radius c = 6 cm. Both cylinders have L = 5 m length which can be assumed to be infinitely long. The solid cylinder has total net charge of Qi = 5 nC. The hollow cylinder has net charge Q2 = 10 nC. The reference voltage at the radial distance of p = 8 cm is given as V = -10 Volts. The medium except conductors is free-space. a) What are the voltage values at p= 2, 4 and 5.5 cm? b) What is the total stored electrostatic potential energy due to the charges in the figure? Hint: For surface charge densities, W, =Je.v ds where V is voltage on the source points.

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1) In figure (top view of the cylinders), a solid conducting cylinder with radius a =3 cm is given, whose rotation axis is z-axis, and center is at the origin. It is concentric with a hollow cylindrical conductor of inner radius b = 5 cm and outer radius c = 6 cm. Both cylinders have L = 5 m length which can be assumed to be infinitely long. The solid cylinder has total net charge of Qi = 5 nC. The hollow cylinder has net charge Q2 = 10 nC. The reference voltage at the radial distance of p = 8 cm is given as V = -10 Volts. The medium except conductors is free-space. a) What are the voltage values at p= 2, 4 and 5.5 cm? b) What is the total stored electrostatic potential energy due to the charges in the figure? Hint: For surface charge densities, W, =Je.v ds where V is voltage on the source points.
Transcribed Image Text:1) In figure (top view of the cylinders), a solid conducting cylinder with radius a =3 cm is given, whose rotation axis is z-axis, and center is at the origin. It is concentric with a hollow cylindrical conductor of inner radius b = 5 cm and outer radius c = 6 cm. Both cylinders have L = 5 m length which can be assumed to be infinitely long. The solid cylinder has total net charge of Qi = 5 nC. The hollow cylinder has net charge Q2 = 10 nC. The reference voltage at the radial distance of p = 8 cm is given as V = -10 Volts. The medium except conductors is free-space. a) What are the voltage values at p= 2, 4 and 5.5 cm? b) What is the total stored electrostatic potential energy due to the charges in the figure? Hint: For surface charge densities, W, =Je.v ds where V is voltage on the source points.
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