Calculated the magnetic moment (in ) of a thin wire with a current A, wound tightly on a half a tore (see figure). The diameter of the cross section of the tore is equal to cm, and the number of turns is
Calculated the magnetic moment (in ) of a thin wire with a current A, wound tightly on a half a tore (see figure). The diameter of the cross section of the tore is equal to cm, and the number of turns is
(5)
The magnetic moment of circular current is given by being the circulating current and is the area of cross-section; the direction is perpendicular to the plane of current. Now, for an element of toroid of length , its magnetic moment is along the direction of arrow as shown, of magnitude (perpendicular to its cross-section)=current area number of turns in the length
Resolving dM into components along and , we get and ; components along from neighbouring elements cancel out to zero, and components along are added. So
Putting the given values we get