- #1
AMSA
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Hi there guys.
I am trying to solve a circuit that has a constant voltage source (V) in series with an inductor (L), then that inductor is connected to a resistor (R) in parallel with a capacitor (C).
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I am trying to solve that for the current iL.
I came up with this equations:
iL = iC + iR;
V = vL + vC;
L diL/dt + 1/C ∫ iC dt = V
1/C ∫ iC dt = R iR
I want to solve those equations in order to get the current in the branch where the inductor is, so iL.
I've tried many combinations and I don't get any coherent result.
I tried to solve that, through iL = iC + iR and what I got was the differential equation in terms of vC, and I want it in terms of iL!
Regards and thanks in advance.
Homework Statement
I am trying to solve a circuit that has a constant voltage source (V) in series with an inductor (L), then that inductor is connected to a resistor (R) in parallel with a capacitor (C).
Homework Equations
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The Attempt at a Solution
I am trying to solve that for the current iL.
I came up with this equations:
iL = iC + iR;
V = vL + vC;
L diL/dt + 1/C ∫ iC dt = V
1/C ∫ iC dt = R iR
I want to solve those equations in order to get the current in the branch where the inductor is, so iL.
I've tried many combinations and I don't get any coherent result.
I tried to solve that, through iL = iC + iR and what I got was the differential equation in terms of vC, and I want it in terms of iL!
Regards and thanks in advance.