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) \[{{\left[ {{(R\omega )}^{2}}+{{\left( L\omega -\frac{1}{C\omega } \right)}^{2}} \right]}^{1/2}}\]
Correct Answer: B
Solution :
Impedance of L-C-R circuit is \[Z=\sqrt{{{R}^{2}}+{{({{X}_{L}}-{{X}_{C}})}^{2}}}\] or \[Z=\sqrt{{{R}^{2}}+{{\left( \omega L-\frac{1}{\omega C} \right)}^{2}}}\] \[\Rightarrow \] \[Z{{\left[ {{R}^{2}}+{{\left( \omega L-\frac{1}{\omega C} \right)}^{2}} \right]}^{1/2}}\]
You need to login to perform this action.
You will be redirected in
3 sec
