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EMF induced in an off-axis solenoid due to a rotating magnet
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[QUOTE="kuruman, post: 6231070, member: 192687"] The formula you used for the induced voltage in your previous experiment is only an approximation of the actual result. It was obtained on the assumption that the B field due to the permanent magnet is uniform over the surface of the pick-up coil (I prefer that name to solenoid) and points in the ##+z##-direction, perpendicular to the plane of the coil. This assumption works for ##z >>R## where ##R## is the coil radius. If you move the coil away from the ##z##-axis, I suggest that you not move it parallel to itself because the dependence of the B-field on the radial direction becomes unnecessarily complicated. Instead, consider turning the coil as you move it so that its plane is always perpendicular to the radius ##r## from the center of the magnet to the center of the coil. Then plot the induced rms voltage as a function of spherical angle ##\theta## from the ##z##-axis. The coil must be in the ##xz## plane. In that case, the dipolar approximation for the magnetic field that you have already used predicts that the voltage as a function of angle [B]at fixed radius[/B] ##r## varies according to ##V(\theta)=V(0)\cos\theta##, where ##V(0)## is the [S]rms[/S] voltage at zero angle that you have already investigated. [/QUOTE]
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EMF induced in an off-axis solenoid due to a rotating magnet
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