Understanding the Q Factor in Parallel Resonant Circuits

[appoos]

hi there..in some places, i saw the usage "the Q factor of parallel LC tank ckt" while in some others, the Q factor of the inductor used in tank ckt is given..are they same??
As far as i know,Q=wL/R is the thing for inductor ,where R is inductor's series resistance..is the formula same for the entire parallel tank ckt??

Also, i would like to know why, during analysis, do we convert series R of inductor to parallel resistance by formula, Rp =R/Q^2 ??

 

[NascentOxygen]

hi there..in some places, i saw the usage "the Q factor of parallel LC tank ckt" while in some others, the Q factor of the inductor used in tank ckt is given..are they same??

Close to being the same. Low-loss capacitors are easy to find, so most of the losses are in the coil.

As far as i know,Q=wL/R is the thing for inductor ,where R is inductor's series resistance..is the formula same for the entire parallel tank ckt??

Practically, provided you use high quality capacitors. But that's not DC resistance.

Also, i would like to know why, during analysis, do we convert series R of inductor to parallel resistance by formula, Rp =R/Q^2 ??

It probably makes analysis easier.

Welcome to PF.

 

[appoos]

thank you..