Explanation:
The impedance of the \(L-C-R\) circuit
is given by
\(\,\,\,\,\,\,\,\,\,\,\,Z = \sqrt {{R^2} + {{\left( {{X_L} - {X_C}} \right)}^2}} \)
\(or\,\,\,\,\,Z = \sqrt {{R^2} + {{\left( {{X_L} - {X_L}} \right)}^2}} = R\)
\(\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\left( {\because {X_L} = {X_C}} \right)\)
\(\therefore Z = 25\Omega \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\left( {\because R = 25\Omega } \right)\)