Find Equivalent Inductance for 3 Inductors: 6mH, 8mH, 6mH

[snipaj9696]

A circuit contains two inductors of 6.0 mH inductance in series placed in parallel with an inductor of 8.0 mH inductance. After one of the 6.0 mH inductors burns out, the repair person wants to replace all three inductors with one inductor of equivalent inductance. What inductance should she use?



1. 3.0 mH

2. 4.8 mH

3. 3.4 mH

4. 11 mH

5. 20 mH

Two 6 mH in series = L1+L2 = 6+6= 12mH
this is in parallel with 8mH

so,,total L = 12*8/20 = 4.8mH

Is this correct?

 

[kamerling]

yes, it is correct. The rules for series and parallel inductances are the same as
those for resistances.

 

[Moetasim]

Yes, that is correct. The equivalent inductance for the three inductors is 4.8 mH. The repair person should use an inductor with an inductance of 4.8 mH to replace the three inductors.