Electromag-netic Waves

No Medium Required!

What are Electromagnetic waves and how are they different from Mechanical waves?

Electromagnetic waves do not require a medium like mechanical waves. It is capable of travelling through outer space and a vacuum. They consist of a magnetic and electric charge. That is another reason why they are different. Mechanical waves only transfer energy. That is why the are only electrical.

How are electromagnetic waves created.

They are produced with a vibrating electric charge. Because of this, they are magnetic and electric.

The electromagnetic spectrum.

The electromagnetic spectrum have a very wide range. It includes radio, microwave, infrared, visible light, ultraviolet, x-ray, and gamma ray. Down below are pictures of all of the electromagnetic spectrum.

Citations

https://encrypted-tbn2.gstatic.com/images?q=tbn:ANd9GcSvIgyaVoOMHzsaJZLkB-6YyVM7eklRuM8azFHZzkLyFBqwIlnf


https://encrypted-tbn1.gstatic.com/images?q=tbn:ANd9GcTU3y4sWgPUu1N2_5AnxmJQWXzhxzvp6ru52CKdGRqHQG_HuRTG


https://encrypted-tbn0.gstatic.com/images?q=tbn:ANd9GcRB17f-tbcm449aKSATm8YwQ8UfWlMQTaiyLX4S5tjXv5L0r6ZI7w


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https://encrypted-tbn3.gstatic.com/images?q=tbn:ANd9GcSM_O86e_exp9kbpXEPeWJCdlc9I5iOfoyilPYkVJ06mqM3xs6C


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