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A magnetic dipole can be created with a small current loop (radius R, current I) at the origin. If this is placed at the origin,
A magnetic dipole can be created with a small current loop (radius R, current I) at the origin. If this is placed at the origin, the magnetic field at points far from the origin will have the form MIR B(r) (2 cos & f + sin o). We would like to find the EMF induced in a loop of radius b > R that is centered on the xy-plane if the current loop has the current I = kt? that runs in the Q-direction. First find the flux through the area shown here, a dome with the ring as a boundary, and use it to calculate the EMF on the ring. Next, use a different surface like the one shown here (with the same ring as a boundary) and show that the induced EMF is the same as what we saw previously for any value of radius a. b A magnetic dipole can be created with a small current loop (radius R, current I) at the origin. If this is placed at the origin, the magnetic field at points far from the origin will have the form MIR B(r) (2 cos & f + sin o). We would like to find the EMF induced in a loop of radius b > R that is centered on the xy-plane if the current loop has the current I = kt? that runs in the Q-direction. First find the flux through the area shown here, a dome with the ring as a boundary, and use it to calculate the EMF on the ring. Next, use a different surface like the one shown here (with the same ring as a boundary) and show that the induced EMF is the same as what we saw previously for any value of radius a. b
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