# Help me solve the RLC differential Equation~!

Discussion in 'Homework Help' started by kiki998, Mar 18, 2009.

1. ### kiki998 Thread Starter New Member

Mar 18, 2009
3
0
Pls help me solve it the circuit is there....

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2. ### mik3 Senior Member

Feb 4, 2008
4,846
63
Assign currents in the circuit and then use KCL to relate the voltages. You have to end up with a second order differential equation.

3. ### kiki998 Thread Starter New Member

Mar 18, 2009
3
0
means how i not so clear about it

4. ### kiki998 Thread Starter New Member

Mar 18, 2009
3
0
can help me find out the differential equation?

5. ### mik3 Senior Member

Feb 4, 2008
4,846
63
Just use a method of circuit analysis but instead of using the frequency domain (impedances) to analyze the circuit represent the voltage or the current for an inductor or capacitor with their derivative function.

v=Ldi/dt

i=CdV/dt

6. ### hitmen Active Member

Sep 21, 2008
159
0
After looking at your problem I realise that I dunno how to do it too

Vi + V(R1) + 1/C∫ i dt = 0

(1/C)∫ i dt + L (di/dt) + v(R2) = 0

Vi + V(R2) + L di/dt + V(R2) = 0

I remember it being somewhere in last sem notes but I cant seem to recall how to do it

7. ### GirishC Active Member

Jan 23, 2009
58
0
Now apply Lapalce transform..do arithmatic...solve by PD and take inverse Laplace...vola...you get the answer