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2.1. Which four methods are mainly used as techniques for calculating potentials?

2.1. Which four methods are mainly used as techniques for calculating potentials?

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2.1. 2.2. 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: d²v dx² ² V = 0 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. 2.2.1. Determine the electrostatic potential of the system V(x) between the two points. = 0 or 2.2.2. What will be the corresponding electric field at any point of the system?
Transcribed Image Text:2.1. 2.2. 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: d²v dx² ² V = 0 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. 2.2.1. Determine the electrostatic potential of the system V(x) between the two points. = 0 or 2.2.2. What will be the corresponding electric field at any point of the system?
2.2.3. Define the boundary of the region in which the solution is valid you have defined 2.2.4. Determine the amount of charge in the region
Transcribed Image Text:2.2.3. Define the boundary of the region in which the solution is valid you have defined 2.2.4. Determine the amount of charge in the region
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