Induced magnetic and electric fields question

[Pyroadept]

Homework Statement

1. Oersted discovered that a curernt carrying wire caused a magnet to move. Why does the magnet move?

2. Ampere discovered that a magnet caused a current carrying wire to move. Why does the wire move?

Homework Equations

(i) ∫Edl = - dΦ_B/dt
(ii) ∫Bdl = Iμ_0 + μ_0ε_0(dΦ_E/dt)
(iii) F = qvxB
(iv) F = IBxL

The Attempt at a Solution

1. By eq. (i), a changing electric field will result in a change in magnetic flux i.e. will induce a magnetic field. This magnetic field will react with the magnetic field of the magnet, causing it to move.

2. By eq. (ii), a changing magnetic field will result in a change in electric flux i.e. will induce an electric field. This will react with the electric field of the current-carrying wire, causing it to move.

Do you think these answers are sufficient? Is there anything more to be said?

 

[Easty]

Hi Pyroadept

Its probably worth mentioning the associated force in each situation, and how the force is created. After all its the force that causes the wire and magnets to move in the first place.

 

[nlightner]

Yes, these answers are sufficient to explain the phenomenon. However, it is important to note that the movement of the magnet or wire is not solely due to the induced magnetic or electric fields. The force acting on the magnet or wire is also dependent on the velocity of the magnet or wire, as shown in eq. (iii) and (iv). Additionally, the direction of the force is determined by the cross product of the velocity and magnetic field, as described by the right-hand rule. Therefore, the movement of the magnet or wire is a result of the interaction between the induced fields and the velocity of the magnet or wire.