Difference btw induced and static electric field.

In summary, there are two types of electric fields - induced and produced by static charges. While they have a significant difference in their properties, they both exert forces on charges according to ##{\vec F}_e = q \vec E##. In relativity, the two types of electric fields are not distinguished and are instead combined into the electromagnetic field tensor. This is because they both contribute to the total electric field, and it is convenient to refer to them as one entity.
  • #1
lavesh
2
0
∇x E≠0 for an induced electric field whereas for field produced by static charges we have ∇x E=0.
This is a very huge difference in the property of a vector field,then why do we call both of them electric field ?
 
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  • #2
They both exert forces on charges according to ##{\vec F}_e = q \vec E##.

Also, in relativity we don't distinguish between the two kinds of electric field when transforming from one reference frame to another via the Lorentz transformation. In the electromagnetic field tensor, it's always the sum of the two (i.e. the total electric field) that appears.

http://en.wikipedia.org/wiki/Electromagnetic_tensor
 
  • #3
you could call them different things, but they exert forces the same way so it's convenient to just add them up.
 

What is the difference between induced and static electric field?

Induced electric field is a temporary electric field that is created in a conductor due to the presence of a changing magnetic field. On the other hand, static electric field is a permanent electric field that exists between two charged particles or objects.

How are induced and static electric field generated?

Induced electric field is generated by Faraday's law of induction, which states that a changing magnetic field induces an electric field in a conductor. Static electric field is generated by the presence of two charged particles or objects, where one has a positive charge and the other has a negative charge.

What are the properties of induced and static electric field?

Induced electric field is a non-conservative field, meaning the energy of the system is not conserved. It also does not have a definite direction and can change in magnitude and direction. Static electric field, on the other hand, is a conservative field, meaning the energy of the system is conserved. It has a definite direction and can only change in magnitude.

How do induced and static electric field affect charged particles?

Induced electric field can induce a current in a conductor, causing charged particles to move. Static electric field, on the other hand, can attract or repel charged particles, causing them to move towards or away from each other.

What are some real-life applications of induced and static electric field?

Induced electric field is used in devices such as generators and transformers, where it is used to convert mechanical energy into electrical energy. Static electric field is used in everyday objects such as capacitors, which store electrical energy, and Van de Graaff generators, which create high voltage static electric fields.

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