Solve RL Circuits Problem: Find i(t) for t>0

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SUMMARY

The discussion focuses on solving the RL circuit problem to find the current i(t) for t > 0 using a Wye-Delta transform. The user successfully applies the Wye-Delta transform to simplify the resistors but struggles with calculating the initial current i(0). The conversation emphasizes the importance of applying Kirchhoff's current law to determine the current at the nodes and suggests that a differential equation may be necessary to solve for the transient current through the inductor.

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  • Ability to formulate and solve differential equations
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  • Learn how to derive and solve differential equations for RL circuits
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Homework Statement


For the circuit shown, find i(t) for t>0
http://img440.imageshack.us/img440/5158/cicuit.jpg



Homework Equations


To simplify the resistors we use a Wye-Delta transform so:
R1 = RbRc/(Ra+Rb+Rc)
R2 = RcRa/(Ra+Rb+Rc)
R3 = RaRb/(Ra+Rb+Rc)

Then the Kirchoff current law on the nodes to calculate i(o).


The Attempt at a Solution



I can do the Wye-Delta transform no problem, but am having serious trouble in calculating i(o). After that it's a fairly straightforward problem.

Any help would be massively appreciated!
 
Last edited by a moderator:
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What have you tried? What's giving you trouble?
 
pukeynut said:
For the circuit shown, find i(t) for t>0.
Will you be determining a differential equation, then solving it, to find the transient current through the inductor? Or what method will you be using?
 

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