Wheatstone bridge with inductances

[chohocvo]

Homework Statement

Homework Equations

Assume we have Vab.
Junction Rule:
I₁ = I₃ + I₄ => I'₁ = I'₃ + I'₄
I₅ = I₂ + I₃ => I'₅ = I'₂ + I'₃
Loop Rule:
V - L₁I'₁ - L₄I'₄ = 0
-L₁I'₁ - L₃I'₃ + L₂I'₂ = 0
V - L₁I'₁ - L₃I'₃ - L₅I'₅ = 0
V - L₂I'₂ - L₅I'₅ = 0

The Attempt at a Solution

First I tried 2 junction equations and 3 loops without V. Then I eliminated to the last 2 equations with 2 unknown, but I got 2 same equations.
Now I try with the equations above and still got 2 same equations.
I'm thinking maybe it's not write to say that I₁ = I₃ + I₄ => I'₁ = I'₃ + I'₄.
I need some suggestions about what loop should I use.

 

[SuperSexy_66]

I have that problem too! we had a group of hella people from 2 physics 421 classes working on that! we didn't get an answer, any new luck?

 

[SuperSexy_66]

Come Back Online! I am with a study partner trying to figure this out! we can ConVerSate! Share Ideas! ! ! !

 

[SuperSexy_66]

ε=Leq[1/[(1/di1)+(1/di2)]]

 

[chohocvo]

Sorry I don't have any idea yet. Are u from Shiwen class also?

 

[SuperSexy_66]

Yeah, this question blows! we've worked it more than a dozen ways with more than a dozen other people! but the rest of the problems were easy

 

[chohocvo]

If you guys find out anything can you post it here or email me please?! my email is nguyenhoc_156@yahoo.com