Understanding EM Fields: Storage and Transmission of Energy

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Electromagnetic (EM) fields indeed contain energy and can store it, as seen in capacitors, while also transmitting energy through waves. The distinction between storing and containing energy lies in the context of usage; storing refers to the ability to hold energy for later use, while containing refers to the presence of energy within the field itself. The definition provided describes an EM field as a configuration of electric fields that can be static or dynamic, which aligns with established principles. Additionally, a changing EM field induces a magnetic field, consistent with Maxwell's equations. This understanding is crucial for grasping the fundamental behaviors of EM fields in various applications.
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I have been told that

1. EM fields contain energy.
2. EM fields can store energy, e.g. capacitors.
3. EM fields can transmit energy, e.g. via waves.

How are 1. and 2. any different from each other?
 
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The two statements say the same thing using different words.
 
Thank you very much for your reply.

To move on, I just want your view on this definition of mine.

An electromagnetic field is an arbitrary configuration of electric fields (either finite or infinite in extent) that is either static or changing in time.

If the electromagnetic field changes in time, a magnetic field is induced whose properties and configurations are given by Maxwell's equations of electromgnetism.

Am I right?
 
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