What is monopole dipole quadrupole?
The first (the zeroth-order) term in the expansion is called the monopole moment, the second (the first-order) term is called the dipole moment, the third (the second-order) is called the quadrupole moment, the fourth (third-order) term is called the octupole moment, and the fifth (fourth-order) term is called the …
What is a multipole in physics?
A multipole expansion is a mathematical series representing a function that depends on angles—usually the two angles on a sphere. Multipole expansions are very frequently used in the study of electromagnetic and gravitational fields, where the fields at distant points are given in terms of sources in a small region.
What is electric multipole?
Page 2. Electrostatic Multipole Expansion. ϕ(r) = 1. 4πϵ0.
What are monopoles and dipoles?
Monopoles: Either north or south pole alone. Dipoles: Both north and south pole in each other’s influence.
What is an electric monopole moment?
n. A single electric point charge, such as an electron or positron, in which all the electric field lines point inward for a net negative electric charge or away for a net positive electric charge.
What is Octopole moment?
An extreme generalization (“point octopole”) would be: Eight alternating point charges at the eight corners of a parallelepiped, e.g. of a cube with edge length a. The “octopole moment” of this arrangement would correspond, in the “octopole limit” to a nonzero diagonal tensor of order three.
What is electric quadrupole moment of a nucleus?
The nuclear electric quadrupole moment is a parameter which describes the effective shape of the ellipsoid of nuclear charge distribution. A plot of measured values shows that magic numbers of neutrons or protons correlate with near-zero quadrupole moments.
How does a monopole work?
The monopole is often used as a resonant antenna; the rod functions as an open resonator for radio waves, oscillating with standing waves of voltage and current along its length. Therefore the length of the antenna is determined by the wavelength of the radio waves it is used with.
What does a monopole do?
In particle physics, a magnetic monopole is a hypothetical elementary particle that is an isolated magnet with only one magnetic pole (a north pole without a south pole or vice versa). A magnetic monopole would have a net “magnetic charge”.
Is there such a thing as a dipole moment?
There is no dipole moment (as many cars flow north to south as south to north, and east to west as west to east, but there is a quadrupole – at a given moment in time one route (e.g. north-south) will tend to dominate over the other one.
Which is an example of a quadrupole moment?
The quadrupole moment can relate preferences in more than one direction. Imagine two roads, each with equal traffic flows in both directions, intersecting at a roundabout. More cars want to travel straight on than turn.
What is the goal of a multipole expansion?
A multipole expansion provides a set of parameters that characterize the potential due to a charge distribution of finite size at large distances from that distribution. The goal is to represent the potential by a series expansion of the form:
How are magnetic dipoles described by a vector?
Magnetic dipoles are easily described by vectors – with a length (the strength of the dipole) and a direction (from south to north). We could add to our monopole description of our nematodes a dipole description too. In this case, we could describe in what way the nematodes were travelling (on average) in a dipole manner.
https://www.youtube.com/watch?v=QNGYKWVOV54