What causes sonometer wire to vibrate in A.C Sonometer experiments?

[Amith2006]

Sir,
In an A.C Sonometer experiment, what is the principle on which the sonometer wire vibrates when an A.C voltage and a magnetic field is applied between any 2 points of the wire?

 

[pallidin]

The applied AC voltage generates a constantly varying magnetic field, which engages and reacts with the static external magnetic field, causing a force reaction in BOTH the AC wire and the external magnet. The wire, often being very thin and of a mass much lower than the external magnet, exhibits a noticable cyclic displacement.
Careful measurements would show that the external magnet also vibrates from this scenario.

 

[charng]

The principle behind the vibration of the sonometer wire in an A.C Sonometer experiment is electromagnetic induction. When an alternating current is passed through the wire, it creates a changing magnetic field around the wire. This changing magnetic field induces an alternating current in the wire itself, which causes the wire to vibrate at its natural frequency. This phenomenon is known as self-induction. The strength of the magnetic field and the frequency of the alternating current determine the amplitude and frequency of the vibrations. This principle is essential in understanding the behavior of electrical circuits and is widely used in various applications, including generators, transformers, and motors. By studying the vibrations of the sonometer wire, we can gain valuable insights into the fundamental principles of electromagnetism and their practical applications.