How does acceleration affect electromagnetic waves?

In summary, the current creates a magnetic field in the vicinity of the current loop. The magnetic field is not static, but changes with time due to the fact that the current is constant but the magnetic field is build up over a short time due to the inertia effect.
  • #1
zzzzzz
5
0
Hello, I've just entered this forum and... the world of Physics. And I already have tremendous enigmas. Let's start with this.
Oersted revealed that a static magnetic field exists in the nearby of a current loop. Now "current" means "moving electric charges" and e.m. theory states that a moving charge generates a e.m. field. As a consequence, any current should be an e.m. waves generator (a transmitter), isn't it? If this is so, why are we able to detect only a static magnetic field in an Oersted-like experiment and not a varying magnetic field, along with its associated varying electric field, that again causes a magnetic field... in a word, what we call an e.m. wave?

I'm sure there's some basic idea in e.m. theory that I haven't really understood :redface: May anyone help me? Thanks.
 
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  • #2
A steady current (one that is constant in time) does not create a varying magnetic field and it takes a varying magnetic field to create an electric field. In a normal wire, you won't even notice an electric field, since, although charges are moving, the wire as a whole is electrically neutral. So the charge density needs to change with time in order to radiate em-waves. For example, if you run an AC current (AC is not a steady current) down a wire it radiates, this is simply how antenna's work.

Ah, and welcome to PF! :biggrin:
 
  • #3
But what about the short interval between the time the current "switch" is turned on and the time the current has built itself up completely? During that time, the magnetic field changes very rapidly from 0 to its "steady current value". And same thing when the current is shut down.

Do these events send "cylindrical" E-M waves?
 
  • #4
Yes, when you switch on the current, there is a magnetic field buildup, which creates an electric field that is opposed to the original one that started the current. This gives a sort of inertia-effect to current, it's sometimes called the back-emf and is proportional to the change in current. The actual constant of proportionality (called the self-inductance) depends on the configuration of your current loop. In a coil or solenoid this is relatively high, which is why it has a high impedance at high frequency AC current. When you switch off the current, there's an opposite effect which tends to continue the flow of the current.

There is a wave generated when you switch on the current, but the EM-waves generated in household current wires are relatively low though.
 
  • #5
First of all, thank you for your posts and your welcome :smile:
Now, back to electromagnetics ‘cuase I think I’m making a mess ;p
I'm foreseeing a kind of dualism from what you say: while "steady" (not moving) charges generate static electric fields, steady currents generate static magnetic fields, and this has to be taken as a fact of Nature.
Now, how should I consider a single charge moving with constant velocity (in vacuum e.g.)? Along its path, charge density is not constant. Neither is the current flux in every point. The situation appears to me quite different from, e.g., the ideal one of a steady current along an infinite straight wire. In the latter case, there is a static magnetic field, while in the former there should be an electromagnetic field. Is this right or not?
Again, you say that a varying magnetic field (e.g. a moving magnet) has an electric field associated to it. Is this electric field static? Or a moving magnet becomes a source of e.m. radiation?
 
  • #6
zzzzzz said:
First of all, thank you for your posts and your welcome :smile:
Now, back to electromagnetics ‘cuase I think I’m making a mess ;p
I'm foreseeing a kind of dualism from what you say: while "steady" (not moving) charges generate static electric fields, steady currents generate static magnetic fields, and this has to be taken as a fact of Nature.
Instead of 'steady' charges, we speak of static charges. A static charge distribution gives rise to an electrostatic field. The precise mathematical statement of a static charge distribution is: [itex]\frac{\partial}{\partial t} \rho(\vec r)=0[/itex]. (rho is the charge density).

Steady currents give rise to an magnetostatic field (some say 'static currents', which sounds like contradictio in terminis). The mathematical statement for steady currents is: [itex]\vec \nabla \cdot \vec J(\vec r)=0[/itex], where J is the current density.
This 'fact of Nature' can ofcourse be derived from Maxwell's equations.

Now, how should I consider a single charge moving with constant velocity (in vacuum e.g.)? Along its path, charge density is not constant. Neither is the current flux in every point. The situation appears to me quite different from, e.g., the ideal one of a steady current along an infinite straight wire. In the latter case, there is a static magnetic field, while in the former there should be an electromagnetic field. Is this right or not?
Yes, a single moving point charge does not consitute a steady current and it's electromagnetic field is relatively complicated compared to a steady current in a wire.
Again, you say that a varying magnetic field (e.g. a moving magnet) has an electric field associated to it. Is this electric field static? Or a moving magnet becomes a source of e.m. radiation?
If the bar is moving with constant velocity it will not radiate (it needs to accelerate for that), but is does have an electric field associated to it. You probably already know this, but when you move a bar magnet through a coil or metal ring, a current will run in the ring. It's this electric field associated with the bar magnet that pushes on the charges in the ring to make a current flow.
 
  • #7
Thanks again: your answers are always precious :)
Anyway, I think I have to think over them a little more. What I can’t really catch is the difference between the effects of a system moving with constant velocity (a steady flow of charges, a magnet moving with constant velocity...) and those of a system which is somehow accellerated. I "understand" that it is all inside Maxwell’s equations, but I probably lack a visualization of these phenomena.
 
  • #8
Well, there's a big physical difference between something that moves with constant velocity and something that is accelerating. As you probably know, whether you are moving with constant velocity or standing still cannot be felt or measured in any way. If you were in a big train with the windows painted black (so you can't look outside) and the rails is perfectly smooth (you can't hear the train either) there is no way you can know whether the train is moving or not. But when you accelerate, you can feel a jerk. If the train suddenly brakes you are thrown forward (relative to the train), if it turns left you bump into the right wall etc.
Because of this, if you know a static charge doesn't radiate, you can understand that one moving with constant velocity doesn't either.
 

1. What are currents and magnetic fields?

Currents are the flow of electric charge in a material, while magnetic fields are regions in space where magnetic forces can be observed.

2. How are currents and magnetic fields related?

Currents and magnetic fields are closely related, as a current creates a magnetic field and a changing magnetic field can induce a current in a conductor.

3. What is the difference between direct and alternating currents?

Direct currents flow in one direction, while alternating currents periodically switch direction. Direct currents are commonly used in batteries, while alternating currents are used for power transmission.

4. How are magnetic fields created?

Magnetic fields are created by the movement of electric charge. This can be in the form of a current in a wire or the movement of electrons in an atom.

5. What are some real-world applications of currents and magnetic fields?

Currents and magnetic fields have many practical applications, including electric motors, generators, transformers, and MRI machines. They also play a crucial role in the Earth's magnetic field and the functioning of electronic devices.

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