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Registered Member #15
Joined: Thu Feb 02 2006, 01:11PM
Location:
Posts: 3068
Heres another capacitor problem . . .
You have an oil filled capacitor that consists of two plates (submerged in the oil) where the dielectric constant of the oil is 10. The measured capacitance of the capacitor is 10uF and it is charged to 10V (supply removed afterwards) The oil is then drained from the capacitor case and the capacitance drops to 1uF.
Three parts:
1. What is the voltage on the capacitor after the oil was drained?
2. What is the energy stored by the capacitor in each case? If the energy changed, where did the energy go?
3. Finally, under what circumstance would there be no change in energy stored in the capacitor?
Registered Member #29
Joined: Fri Feb 03 2006, 09:00AM
Location: Hasselt, Belgium
Posts: 500
1. 100V 2. Gravity "pulling the oil out" from between the plates supplies the energy. Before removing oil E=500uJ, after E=5000uJ.. 3. If the plates moved together until the distance between them was 10% of the original distance. or..the oil remained between the plates by the enhanced capillary action caused by the presence of the electric field between the plates...
Registered Member #29
Joined: Fri Feb 03 2006, 09:00AM
Location: Hasselt, Belgium
Posts: 500
OK Next quiz...a bit of classic circuit theory.. It shouldn't be too hard for all those DRSSTC builders out there!
1. You have two identical LC circuits (i.e. each isolated LC circuit has exactly the same resonant frequency). What happens to the resonant frequency as you increase the coupling between the two LC circuits? Hint: As you vary the frequency of Io, what happens to Va, Vb?
2. Assume the coils/capacitors are not perfect (there is some parallel resistance). What effects does this have on the resonance (i.e. how does it change the frequency response Vout/Io)?
Enjoy!
PS - Not looking for maths :-@ ... Just describe what happens......
Registered Member #29
Joined: Fri Feb 03 2006, 09:00AM
Location: Hasselt, Belgium
Posts: 500
I would like to leave this quiz for a little while.. It is fundamental to many of the tesla coil and RF projects presented on this board.... Why don't you dig up a good analog circuit design text...or, if you have access to measurement gear, do the experiment? We do this for fun, right?
Registered Member #190
Joined: Fri Feb 17 2006, 12:00AM
Location:
Posts: 1567
I know I am not up in all your leagues, but I will post a quiz and hope it is ok.
There are two conductive spheres, A and B. A is smaller with a radiius r; B is larger with a radius R. A sits in the center of B, which is hollow, and is suspended by a piece of non-conductive thread.
The question is this: if there is a charge Qa on sphere A and a charge Qb on sphere B, which sphere is at the higher potential and why? If one makes a conductive connection between the two, which way does the charge flow?
Registered Member #56
Joined: Thu Feb 09 2006, 05:02AM
Location: Southern Califorina, USA
Posts: 2445
if there is the same charge on both spheres I would say that sphere A is at a higher voltage (due to smaller surface area), so if you were to connect the two spheres together you would have e- flowing from the larger sphere to the smaller one... (assuming that the spheres are positively charged, if they were negatively charged the e- would flow the the other way).
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