Electromagnetic Waves - Invisible PjProblemStrings Sequences.

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Electomagnetic Waves - Invisible PjProblemStrings Sequences

The PjProblemStrings Sequences examples given previously for each of the seven types of PjProblemStrings Sequences are visible to the unaided eyes. Some PjProblemStrings Sequences are invisible to the unaided eyes. These sequences are *electromagnetic waves* (excluding the visible light of the electromagnetic spectrum).

(a) How are electromagnetic waves formed?

(b) How are electromagnetic waves different from other waves (eg. ocean wave)?

(c) There are seven types of PjProblemStrings Sequences. Electromagnetic waves are PjProblemStrings Sequences. To what group will you assign them?

**The strings**:
S_{7}P_{3}A_{3k} (force -k =1, 2), S_{7}P_{4}A_{4k} (motion- k =1, 2, 3,4).
**The math**:

All Pj Problems are at play. However, Pj Problems of Interest are of types *force* and *motion*.

**(a)** The source of an electromagnetic wave is charge that is changing speed or direction. Charged particles like the electrons of atoms create electric and magnetic fields when they move back and forth. Their movements cause the electric and magnetic fields to vibrate. It is the vibrations of the electromagnetic fields that form the electromagnetic waves. An electromagnetic wave consists of an electric field perpendicular to a magnetic field and both fields are perpendicular to the direction of motion of the wave.
**(b)** The source of any wave is a vibration. Waves that are not electromagnetic waves need a medium to transmit the vibrations. Electromagnetic waves do not need a medium because it is formed by vibrating electromagnetic fields. Consequently, electromagnetic waves can travel both in a vacuum and in a medium. Other waves can only travel through a medium. Also electromagnetic waves travel faster (speed of light in a vacuum).
**(c)** Waves traveling in the same medium usually move at a constant speed and direction unless they encounter another medium, obstacle or another wave. Then they interact in any of the four basic wave interactions: reflection, refraction, diffraction, and interference. So, they are mostly *Colliding PjProblemStrings Sequences* because they often interact with objects and with one another.

Math

The *point* **.** is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.

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More Pj Problem Strings