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Are induced electric field lines always circular?

Posted on August 14, 2022 by Author

Are induced electric field lines always circular?

Furthermore, it’s direction is always tangent to the loop of the conductor. Hence, circular electric field is induced due to changing magnetic field, field line being the circumference of the conducting loop.”

Can electric fields be circular?

In other words, that electric field is going to exert the Coulomb force on that charge so that the charge is going to move in the direction of that force. To do that the corresponding electric field line has to be in circular form.

Why are magnetic fields circular?

Since the magnetic force is perpendicular to the direction of travel, a charged particle follows a curved path in a magnetic field. The magnetic force is perpendicular to the velocity, so velocity changes in direction but not magnitude. The result is uniform circular motion.

Why do electric fields curve?

When charged particles are close enough to exert force on each other, their electric fields interact. The lines of force bend together when particles with different charges attract each other. The lines bend apart when particles with like charges repel each other.

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Why do induced electric field lines form closed loops?

The electric field only has nonzero divergence when there is nonzero charge density. When charge density vanishes everywhere and there are only induced electric fields, the electric field is divergence-free like the magnetic field, and its field lines form closed loops like those of the magnetic field.

Why is induced electric field non conservative?

Specifically, the induced electric field is nonconservative because it does net work in moving a charge over a closed path, whereas the electrostatic field is conservative and does no net work over a closed path. Hence, electric potential can be associated with the electrostatic field, but not with the induced field.

Can induced electric field form closed loops?

If the electric field lines form a closed loop, these lines must originate and terminate on the same charge which is not possible because electric field lines always move from positive to negative. Therefore, we say electrostatic field lines never form closed loops.

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Why the electric field is not uniform at the edges?

The straight electric field lines connecting two surfaces is a solution for the infinite charged plates. In practice, no plates are infinite: they have edges. Far from the edges (close to the center of the plates) one can still think of the plates as infinite, but at the edges this is clearly not true.

How do you find the induced electric field of a circle?

Strategy Using cylindrical symmetry, the electric field integral simplifies into the electric field times the circumference of a circle. Since we already know the induced emf, we can connect these two expressions by Faraday’s law to solve for the induced electric field.

Does a changing magnetic flux induce an electric field?

A changing magnetic flux induces an electric field. Both the changing magnetic flux and the induced electric field are related to the induced emf from Faraday’s law.

Why are electric fields usually circular in shape?

The fact that they are usually circular is just because of symmetry reasons. If the varying flux, and possibly any conductive material that interacts with the appearing electric field, are all rotational symmetric, then there is no reason why the electric fields should be any different.

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What is the relationship between induced EMF and electric field?

Connect the relationship between an induced emf from Faraday’s law to an electric field, thereby showing that a changing magnetic flux creates an electric field The fact that emfs are induced in circuits implies that work is being done on the conduction electrons in the wires.

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