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Finally, discuss some physical limitations that might ...by Jamin2112
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#1
Feb613, 01:44 PM

P: 920

1. The problem statement, all variables and given/known data
Part (d) of problem 1 here: http://faculty.washington.edu/joelzy...02_W13_hw4.pdf 2. Relevant equations I have (I(t) I'(t))^{T} = cos(t/√(LC))k_{1} + sin(t/√(LC))k_{2}, some k_{1}, k_{2} ε ℂ^{2} for my solution and so I know that decreasing the value of LC increases the ticking frequency of this clock. 3. The attempt at a solution But I'm at a loss for what to put for this "discuss some physical limitations" thing. Thoughts? 


#2
Feb613, 01:54 PM

HW Helper
Thanks
PF Gold
P: 4,856

For one thing  do you think this clock will run forever? Even if so, does the current level stay constant or does it get harder to detect over time? Do the values of R, C and L change in any way over time?



#3
Feb613, 02:08 PM

P: 920




#4
Feb613, 02:54 PM

Thanks
P: 5,801

Finally, discuss some physical limitations that might ...
I do not see any dependence of the solution on R. How come?



#5
Feb613, 03:28 PM

P: 920




#6
Feb613, 03:43 PM

HW Helper
Thanks
PF Gold
P: 4,856

And BTW you can't have R = 0 in real life. Besides, the problem specifies a resistor. And FYI R, C and L do change over time & environment. That's why crystal oscillators are used in your PC! 


#7
Feb613, 04:08 PM

Thanks
P: 5,801




#8
Feb613, 04:45 PM

P: 920




#9
Feb613, 05:09 PM

Thanks
P: 5,801

Is that possible with R > 0?



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