Inductance of a Toroid

Total number of turns: N. • Magnetic field inside toroid: B = µ0I. 2πr. • Magnetic flux through each turn (loop):. ΦB = / b a. BH dr = µ0INH. 2π. / b a dr r. = µ0INH. 2π.
96KB taille 104 téléchargements 364 vues
Inductance of a Toroid • Total number of turns: N µ0 I 2πr • Magnetic flux through each turn (loop): Z Z b µ0 IN H b µ0 IN H b dr = ln BH dr = ΦB = 2π r 2π a a a • Magnetic field inside toroid: B =

µ0 N 2 H b N ΦB = ln • Inductance: L ≡ I 2π a • Narrow toroid: s ≡ b − a  a “ b s” s ln = ln 1 + ' a a a µ0 N 2 (sH) • Inductance: L = 2πa

tsl267 – p.1/1