Solve L Section Filter Problem for Final | AC Current/Voltage

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The discussion revolves around a student's confusion regarding the phase relationship between current and voltage in AC circuits, particularly in the context of inductors and capacitors, as they prepare for a final exam. The student expresses frustration over the lack of coverage in lectures and textbooks, seeking guidance on solving related problems. Key topics include the need for understanding transfer functions and the equations that relate current and voltage for inductors and capacitors, which differ from the simple V=IR relationship for resistors. Participants suggest looking up resources, including a Wikipedia page on LC circuits, to clarify these concepts. Overall, the conversation highlights the challenges of grasping complex AC circuit topics under exam pressure.
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I have this problem in my review packet and it is making me crazy because it wasn't covered in lecture and the book seems to just skip over it. The final is tomorrow and I don't really have a clue about phase relationship between current and voltage in a simple ac circuit and filtering application. If someone could show me how to work a problem like this I would greatly appreciate it. Maybe it's the stress of the final tomorrow but I'm getting very frustrated with it.
 

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sfgoat said:
I have this problem in my review packet and it is making me crazy because it wasn't covered in lecture and the book seems to just skip over it. The final is tomorrow and I don't really have a clue about phase relationship between current and voltage in a simple ac circuit and filtering application. If someone could show me how to work a problem like this I would greatly appreciate it. Maybe it's the stress of the final tomorrow but I'm getting very frustrated with it.

Just write the differential equation for the transfer function. What are the expressions for current versus voltage for an inductor and capacitor?
 
berkeman said:
Just write the differential equation for the transfer function. What are the expressions for current versus voltage for an inductor and capacitor?

Still not following, I don't really know what you mean by transfer function. We kind of just skipped over all this material it seems like.
 
If they were resistors in stead of an inductor and capacitor, what would be the transfer function Vo/Vi?

And what are the equations relating current and voltage for an inductor and for a capacitor? They are not the simple V=IR like for a resistor...
 
Can anybody direct me to a link or something of this being done. In an example.
 
sfgoat said:
Can anybody direct me to a link or something of this being done. In an example.

Look down this page to the part about Series LC circuit:

http://en.wikipedia.org/wiki/LC_circuit

.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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