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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a84d170-1e62-4449-b8c1-55caecbfc583%2F79b2cbef-b90c-4d65-b6fe-ce9e5e126ee7%2F330td5i_processed.jpeg&w=3840&q=75)
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a84d170-1e62-4449-b8c1-55caecbfc583%2F79b2cbef-b90c-4d65-b6fe-ce9e5e126ee7%2Fpt9fofk_processed.jpeg&w=3840&q=75)
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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