Saved Bookmarks
| 1. |
Give an expression for an ac driven series RLC circuit. |
|
Answer» Solution :For a series RLC circuit and for a sustained oscillation, `L(d^(2)q)/(dt^(2))+R(dq)/(dt)+(q)/(C)=v_(m)sinomegat` where, `q=q_(m)sin(omegat+theta)` and `q_(m)=(v_(m))/([L^(2)(omega_(0)^(2)-omega^(2))^(2)+omega^(2)R^(2)]^(1//2))` Note : `i_(m)=omegaq_(m)` It can also be SHOWN that `i_(m)=(v_(m))/(sqrt(R^(2)+(X_(C)-X_(L))^(2)))` where `Z=sqrt(R^(2)+(X_(C)-X_(L))^(2))`. |
|