if an inductor having inductance L is joined to another identical inductor with its one end join the resultant inductance - Physics - Electromagnetic Induction

Question

if an inductor having inductance L is joined to another identical
inductor with its one end join the resultant inductance would
become

Rohit Babu · Accepted Answer

Dear Student, The inductance of both the inductors are given as,L1=L2=LHere inductors are conected in series
In general when the inductors are connected in series, the resultant inductancewill be the sum of individual inductances
Therfore,Leq=L1+L2=L+L=2LWhen inductors are connected together in series so that the magnetic field of one links with the other we also consider the mutal inductance M
 There are two casesin this situation
Case:1 If the magnetic flux produced by the current flows through the coils in the same direction then the coils are said to be Cumulatively Coupled
Leq=L1+L2+2M=2L+2M=2(L+M)Case:2 If the current flows through the coils in opposite directions then the coils are said to be Differentially CoupledLeq=L1+L2-2M=2(L-M)Regards

if an inductor having inductance L is joined to another identical inductor with its one end join the resultant inductance would become