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The diagram below shows a section of a long thin-walled metal tube of radius R = 2.50 cm, with a chargo por unit longth of A = 2.00 x 10-8 C/m. (a). Determine the magnitude E of the electric field at radial distance: r= R/2.00 (i) r= 2.00R (ii) (b). Graph E versus r for the ranger = 0 to 2.00R, indicating the maximum value of E as well.

The diagram below shows a section of a long thin-walled metal tube of radius R = 2.50 cm, with a chargo por unit longth of A = 2.00 x 10-8 C/m. (a). Determine the magnitude E of the electric field at radial distance: r= R/2.00 (i) r= 2.00R (ii) (b). Graph E versus r for the ranger = 0 to 2.00R, indicating the maximum value of E as well.

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The diagram below shows a section of a long thin-walled metal tube of radius R = 2.50 cm, with a chargo por unit longth of A = 2.00 x 10-8 C/m. (a). Determine the magnitude E of the electric field at radial distance: r= R/2.00 r= 2.00R (i) (ii) (b). Graph E versus r for the range r = 0 to 2.00R, indicating the maximum value of E as well.
Transcribed Image Text:The diagram below shows a section of a long thin-walled metal tube of radius R = 2.50 cm, with a chargo por unit longth of A = 2.00 x 10-8 C/m. (a). Determine the magnitude E of the electric field at radial distance: r= R/2.00 r= 2.00R (i) (ii) (b). Graph E versus r for the range r = 0 to 2.00R, indicating the maximum value of E as well.
Which four methods are mainly used as techniques for calculating potentials? In one dimension, the electrostatic potential V depends on only one variable x. The electrostatic potential V (x) is a solution of the one-dimensional Laplace Equation. The one dimensional Laplace Equation is given by: d?v = 0 dx2 V2 V = 0 or Where the general solution of the equation is given by: V (x) = N x + B, where N and B are arbitrary constants determined when the value of the potential is specified at two different position (i.e. when boundary conditions are given). Two conductors are located at x = -10 m and x = 10 m. The conductor at x = - 10 m is grounded (V = 0 V) and the conductor at x = 10 m is kept at a constant potential of 250 V. 2.1. Determine the electrostatic potential of the system V(x) between the two points
Transcribed Image Text:Which four methods are mainly used as techniques for calculating potentials? In one dimension, the electrostatic potential V depends on only one variable x. The electrostatic potential V (x) is a solution of the one-dimensional Laplace Equation. The one dimensional Laplace Equation is given by: d?v = 0 dx2 V2 V = 0 or Where the general solution of the equation is given by: V (x) = N x + B, where N and B are arbitrary constants determined when the value of the potential is specified at two different position (i.e. when boundary conditions are given). Two conductors are located at x = -10 m and x = 10 m. The conductor at x = - 10 m is grounded (V = 0 V) and the conductor at x = 10 m is kept at a constant potential of 250 V. 2.1. Determine the electrostatic potential of the system V(x) between the two points
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