question_answer

In a series LCR circuit, operated with an ac of angular frequency \[\omega \], the total impedance is        [MP PET 1996]

A)            \[{{[{{R}^{2}}+{{(L\omega -C\omega )}^{2}}]}^{1/2}}\]       

B)            \[{{\left[ {{R}^{2}}+{{\left( L\omega -\frac{1}{C\omega } \right)}^{2}} \right]}^{1/2}}\]

C)            \[{{\left[ {{R}^{2}}+{{\left( L\omega -\frac{1}{C\omega } \right)}^{2}} \right]}^{-1/2}}\]

D)            \[{{\left[ {{(R\omega )}^{2}}+{{\left( L\omega -\frac{1}{C\omega } \right)}^{2}} \right]}^{1/2}}\]