 #1
cnh1995
Homework Helper
Gold Member
 3,442
 1,147
Homework Statement
Homework Equations
Kirchhoff's laws
The Attempt at a Solution
Applying KVL on primary,
di_{1}/dt+i_{1}=5+2di_{2}/dt.....1)
Similarly for secondary,
2di_{1}/dt= 4di_{2}/dt + i_{2}.....2)
After solving these equations using Laplace Transform, I got
I_{1}= 5e^{0.2t} A and
I_{2} = 2e^{0.2t}2e^{0.25t}.
I have verified these answers using initial and final conditions and I believe they are correct.
However, at t=0, the energy in the system comes out to be 8J (E= 0.5L_{1}i_{1}^{2}+0.5L_{2}I_{2}^{2}Mi_{1}i_{2}, since there is magnetic opposition).
How is this possible? How can the energy change instantaneously here?
For E to be zero at t=0, i_{2} at t=0 should be 2A. But here, i_{2}_{t=0}= 0A.
What am I missing here?
Attachments

52.5 KB Views: 428