Inductance of toroidQuestion: Determine the inductance of a toroid(N loops) with rectangular cross-section.B= LoNI2元rNΦ,= N[BdSNΦVuoN1n12元r
Inductance of toroid Question: Determine the inductance of a toroid (N loops) with rectangular cross-section. 0 2 NI B r = N N BdS = B 2 0 2 1 ln 2 N r B N h L I r = =
Mutual inductance (1)For two coils near each otherIj changes → EMF in coil 2Total flux in coil 2 created by current I, dΦ21dl,N,Φ21 = M2il1 = 82 =dtdtM2; is the mutual inductance of coil 2 with respectto coil 1, depends on geometry & ferromagnetics
Mutual inductance (1) M21 is the mutual inductance of coil 2 with respect to coil 1, depends on geometry & ferromagnetics For two coils near each other I1 changes → EMF in coil 2 N M I 2 21 21 1 = Total flux in coil 2 created by current I1 : 21 1 2 2 21 d dI N M dt dt = − = −