)wytang said:
)tiny-tim said:hi wytang! welcome to pf!
(try using the X2 button just above the Reply box
set up the integral of the biot-savart law, integrating wrt θ …
what do you get?
(L >> R means that at some stage it'll be ok to ignore the y components
A magnetic field on the axis along the plane of a loop refers to the magnetic field that is generated by a current-carrying loop of wire when viewed from a point along its central axis and in the same plane as the loop. It is perpendicular to the plane of the loop and its strength varies depending on the distance from the loop.
The direction of the magnetic field on the axis along the plane of a loop is determined by the right-hand rule. If you point your right thumb in the direction of the current flow in the loop, then the direction of the magnetic field will be in the direction that your fingers curl.
The strength of the magnetic field on the axis along the plane of a loop is affected by the current flowing through the loop, the number of loops in the wire, and the distance from the loop. The strength also depends on the shape and size of the loop, as well as any magnetic materials that may be present.
The changing magnetic field on the axis along the plane of a loop can induce an electric current in a nearby conductor, as described by Faraday's law of induction. This phenomenon is the basis for many electrical devices such as generators and transformers.
Yes, the magnetic field on the axis along the plane of a loop can be manipulated or controlled by changing the current in the loop, changing the number of loops, or using magnetic materials to enhance or deflect the field. This is important in various applications such as motors, speakers, and MRI machines.