From a practical point of view single-mode:
As such, typical applications are:
- single-mode optical fiber: longer distance communications across buildings and cities
- multi-mode optical fiber: shorter distance communications e.g. within a single data center
Then there are some more hardcore threads actually pondering about specific cost trade-offs:
From a mathematical point of view:
- multi-mode: en.wikipedia.org/w/index.php?title=Optical_fiber&oldid=1229833804#Multi-mode_fiber:
Fiber with large core diameter (greater than 10 micrometers) may be analyzed by geometrical optics. Such fiber is called multi-mode fiber. In a step-index multi-mode fiber, rays of light are guided along the fiber core by total internal reflection.
- single-mode: en.wikipedia.org/w/index.php?title=Optical_fiber&oldid=1229833804#Single-mode_fiber:
Fiber with a core diameter less than about ten times the wavelength of the propagating light cannot be modeled using geometric optics. Instead, it must be analyzed as an electromagnetic waveguide structure, according to Maxwell's equations as reduced to the electromagnetic wave equation. As an optical waveguide, the fiber supports one or more confined transverse modes by which light can propagate along the fiber. Fiber supporting only one mode is called single-mode.
Another difference is that single-mode fiber usually uses lasers as the light soruce, while multi-mode fiber usually uses LED:
Is it realistic?
The interest of the magnetic hysteresis graph is that it serves as an important characterization of a :This curve will also tell you how many turns of the coil will be needed to reach the required field.
- its area gives you the hysteresis loss of the transformer, which is a major cause of efficiency loss of the component
- some key points of the curve give important characterizations of the core/material:
- Saturation magnetisation
- magnetization strength without field
- how much field you need to demagnetize it
Theoretical magnetic hysteresis plot
. Source. 1989. 1989 and they were making such awesome materials. It is hard to understand why university still exists given this.
Shows how you can obtain the magnetic hysteresis curve with an AC source plus an oscilloscope in XY mode. youtu.be/pXukVix5Pcw?t=193 clearly shows the measurement circuit.
Magnetic hysteresis experiment by UNSW Physics.
Source. 2020, thanks COVID-19. Like other UNSW Physics YouTube channel videos, the experimental setup could be made clearer with diagrams.
But this video does have one merit: it shows that the hysteresis plot can be obtained directly with the oscilloscope XY mode by using an AC source. The Y axis is just a measure of the total magnetic field induced by the primary coil + the magnetization of the material itself.
The first application of mobile phones was in motor vehicles by 
Ciro Santilli 37 Created 2024-06-26 Updated 2025-07-16
Ciro Santilli 37 Created 2024-06-26 Updated 2025-07-16Early models were heavy and not practical for people to carry them, so the main niche they initially filled was being carried in motor vehicles, notably trucks where drivers are commercially driving all day long.
It also helps in the case of trucks that you only need to cover a one-dimensional region of the main roads.
Easy-to-Build Electromagnet lifts over 50 lbs by Dorian McIntire
. Source. Fun, but zero reproducibility.Solenoids are simpler to build as they don't require insulated wire as in modern electrical cable because as the electromagnetic coils don't touch one another.
As such it is perhaps the reason why some early electromagnetism experiments were carried out with solenoids, which André-Marie Ampère named in 1823.
But the downside of this is that the magnetic field they can generate is less strong.
Magnetic field lines around a solenoid cross-section
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