trelek2 said:A square loop of wire of side a is rotating with frequency [tex] \omega [/tex] in a magnetic field. I understand that at time t, a magnetic field [tex]B=B_{0}sin\omega t [/tex] passes through the loop. But why does the current induced in the loop vary twice with the frequency of rotation? What is the expression of the current induced?
The induced current in a coil is directly affected by the rate of change of magnetic flux through the coil. Rotation of the coil causes the magnetic flux to change, resulting in a change in induced current.
This is due to the way the magnetic field lines interact with the coil. As the coil rotates, the magnetic field lines cut through the coil in both directions, resulting in a change in magnetic flux and therefore a change in induced current. This process occurs twice per rotation, hence the varying induced current twice per rotation.
Yes, the strength of the magnetic field does affect the variation of induced current. A stronger magnetic field will result in a larger change in magnetic flux, which in turn will result in a larger induced current.
Yes, the shape of the coil can affect the variation of induced current. A coil with a larger surface area will have more magnetic field lines cutting through it, resulting in a larger change in magnetic flux and therefore a larger induced current.
The speed of rotation also affects the variation of induced current. A faster rotation will result in a larger change in magnetic flux and therefore a larger induced current. This is because the magnetic field lines will be cutting through the coil at a higher rate, resulting in a larger change in magnetic flux.