Category: Invariance @MDashF
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Uniqueness Theorem in Electrostatics, Lecture 12.
The uniqueness theorem can be stated as the following: “To every boundary value condition there exists a unique solution to the Laplace equation. Two solutions of Laplace equation that satisfy the same boundary value condition are (i) same for Dirichlet Boundary Value Condition and (ii) differ by an additive constant for Neumann Boundary Value Condition.
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Electrostatic Potential Energy Of Different Charge Configurations. Lecture-10, 11.
We assume the charges to be located infinitely away from each other, initially. The charges interact among each other electrically when they come closer together, by the dint of Coulomb’s force. This gives rise to an electrostatic force between each pair of charge. When the charges come closer we have to perform work against the…
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Electric Dipole: Potential And Electric Field Due To Dipole, Lecture-9.
An electric dipole is a system of two equal and oppositely signed charges +q and -q separated by a distance d. Atomic phenomena can often be modelled in terms of dipoles, so its important to study the dipole in detail. The electrostatic potential for such an arrangement (i.e. a dipole) can easily be written; Its…
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Laplace And Poisson Equation, Lecture 5, 6, 7 And 8.
We will discuss 4 lecture hours of Laplace and Poisson Equation, their spherical coordinate forms and applications , boundary value problems in both spherical and Cartesian systems, there are 7 problems that are discussed in all details apart from required derivations.
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Conservative Nature of the Electrostatic Field and Electrostatic Potential, Lecture – 4.
Today we will discuss the conservative nature of the static electric field — the time varying fields are not amenable to this conservative nature as we would learn in an advance discourse. This is intimately connected with the concept of the Helmholtz theorem which has been discussed on this website (linked below), in an advance…
M Dash Foundation: C Cube Learning 