series RLC circuit

Thread Starter

Steven5757

Joined Jul 2, 2012
3
I have a homework question, that I could use some assistance with: it is desirable to increase the selectivity of a series RLC circuit without affecting the resonant frequencies. Which component would you change and how (larger or smaller) and why?
Thank you, Steven
 

panic mode

Joined Oct 10, 2011
1,789
LC affect resonant frequency so do not change those.
by lowering R, you will increase Q factor of the circuit and increase selectivity.
 

WBahn

Joined Mar 31, 2012
24,709
As panic mode says, you want to increase the Q without changing the resonant frequency, but do you understand why there is a relationship between Q and selectivity?

So start with the equations for the resonant frequency and for the Q of a series RLC circuit (hopefully you were required to either derive these equations yourself or at least had the derivations presented in class).

If you can only change one component, then can you change either the L or the C? because changing one and not the other will change the resonant frequency. You are therefore left with changing R. So now look at the equation for Q and see whether larger or smaller R will result in an increase in Q.

Now let's assume that you can't change R but that you can change both L and C. Would could you do then?
 
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