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dev70
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Can electric field be induced at a point near a time varying uniform magnetic field? "Near" means not the in the place where magnetic field exist. But at a point outside the field's presence.
You probably meant 'by a magnetic field, but not in the place where the magnetic field exists.dev70 said:Can electric field be induced at a point near a time varying uniform magnetic field? "Near" means not the in the place where magnetic field exist. But at a point outside the field's presence.
Only in areas where there is a changing magnetic field.Meir Achuz said:A time varying magnetic field will have time varying vector potential
[tex]\frac{\partial{\bf A}}{\partial t}[/tex] that can exist beyond the field, and induce an E field.
∂B/∂t ≠ 0 implies that there is a magnetic field (apart from some specific points in time maybe).elfmotat said:However, (assuming ∂B/∂t isn't zero) the electric field induced will also be nonzero outside of the solenoid.
B= curl A. Apply Stokes' theorem for a B field in a solenoid.mfb said:Only in areas where there is a changing magnetic field.
mfb said:∂B/∂t ≠ 0 implies that there is a magnetic field (apart from some specific points in time maybe).
Sorry, but what you want just violates the laws of physics.elfmotat said:The electric field it produces also "exists" (is nonzero) outside the solenoid where B=0.
mfb said:Sorry, but what you want just violates the laws of physics.
$$curl(B)=\frac{1}{c}\frac{\partial E}{\partial t} + \frac{4\pi}{c} j$$
You do not want currents and no magnetic field? => electric field is time-invariant. You cannot switch it on or off.
This means that a time-independent charge distribution (which might consist of moving charges) is the only relevant option for a source of an electric field.
Transformers violate laws of physics? You learn something new every day!mfb said:Sorry, but what you want just violates the laws of physics.
An induced electric field is a type of electric field that is created when a magnetic field changes in strength or orientation. This change in the magnetic field can cause charges to move, which in turn creates an electric field.
According to Faraday's law of induction, a changing magnetic flux through a conductor will induce an electric field in that conductor. This is because the changing magnetic field will cause charges to move within the conductor, creating an electric field.
The strength of an induced electric field is determined by the rate of change of the magnetic field and the distance from the source of the magnetic field. The stronger the rate of change and the closer the distance, the stronger the induced electric field will be.
Induced electric fields have many practical applications, including power generation in generators, electric motors, and transformers. They are also used in various medical imaging techniques, such as magnetic resonance imaging (MRI).
No, an induced electric field can only exist in the presence of a changing magnetic field. Without a changing magnetic field, there would be no movement of charges and therefore no induced electric field.