1.

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


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