I Does a time varying magnetic field in vacuum produce electric field or not?

AI Thread Summary
A time-varying magnetic field produced by a changing current in a wire generates an electric field, according to Maxwell's equations. This means that a charged particle at rest in the vicinity of this changing magnetic field will experience an electric force due to the induced electric field. The discussion emphasizes that one cannot have a changing magnetic field without simultaneously creating an electric field. The relationship between electric and magnetic fields is integral to understanding electromagnetic phenomena. Overall, the presence of a time-varying magnetic field guarantees the existence of an electric field, affecting nearby charged particles.
yashraj
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Will a charged particle at rest experience a force on it due to the electric field produced by a time varying magnetic field in vacuum.
Suppose there is very long current carrying wire. A charged particle is present somewhere around it. The current in the wire varies with time, thus by biot-savart's law there should be time varying magnetic field. I want to know that will this time varying magnetic field produce electric field or not ? If it produces electric field then the charged particle initially present at rest will experience a electric force on it.
 
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yashraj said:
TL;DR Summary: Will a charged particle at rest experience a force on it due to the electric field produced by a time varying magnetic field in vacuum.

Suppose there is very long current carrying wire. A charged particle is present somewhere around it. The current in the wire varies with time, thus by biot-savart's law there should be time varying magnetic field. I want to know that will this time varying magnetic field produce electric field or not ? If it produces electric field then the charged particle initially present at rest will experience an electric force on it.
Yes.
 
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kuruman said:
Yes.
How ? I mean initially charge was at rest. So whatever be the magnetic field either changing or constant, the force on charge due to this magnetic field according to this relation F = q*(VxB) should be zero, so this charge at rest shouldn't experience force due to magnetic field at this instant. What doubt right now i am having is that how could changing magnetic field can produce electric field in vacuum ?
 
yashraj said:
How ?
Because, as you noted, a time-varying magnetic field implies the presence of an electric field. So the particle moves under the influence of the electric field.
yashraj said:
What doubt right now i am having is that how could changing magnetic field can produce electric field in vacuum ?
I guess the question is why you think it shouldn't.
 
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Ibix said:
Because, as you noted, a time-varying magnetic field implies the presence of an electric field. So the particle moves under the influence of the electric field.
I guess the question is why you think it shouldn't.
Thank you for the clarification. But I don't understand that if at a point "A" there is only one field that is magnetic field "B" and this magnetic field is changing with time then would there be electric field produced at point "A" or not ?
 
yashraj said:
Thank you for the clarification. But I don't understand that if at a point "A" there is only one field that is magnetic field "B" and this magnetic field is changing with time then would there be electric field produced at point "A" or not ?
Not quite. Roughly speaking, magnetic field lines varying in time are sources of circulating electric field lines about them. If free charges happen to be around, they will be accelerated by them. This is the Maxwell-Faraday equation, one of the 4 Maxwell's equations. read about it here.
 
yashraj said:
Thank you for the clarification. But I don't understand that if at a point "A" there is only one field that is magnetic field "B" and this magnetic field is changing with time then would there be electric field produced at point "A" or not ?
You can't have "only a magnetic field that is changing" - there will always be an electric field if there is a changing magnetic field. You can have an unchanging magnetic field and no electric field, and then you can start the magnetic field changing and an electric field will appear, if that's what you mean.

I think that it's probably better to think of the electromagnetic field, some components of which we call the electric field and some we call the magnetic field, rather than thinking of the electric and magnetic fields as separate things.
 
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Ibix said:
You can't have "only a magnetic field that is changing" - there will always be an electric field if there is a changing magnetic field. You can have an unchanging magnetic field and no electric field, and then you can start the magnetic field changing and an electric field will appear, if that's what you mean.

I think that it's probably better to think of the electromagnetic field, some components of which we call the electric field and some we call the magnetic field, rather than thinking of the electric and magnetic fields as separate things.
Your answer now gave me some better clarity. Thank you for helping me.
 

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