A) \[{{X}_{L}}=0\]
B) \[{{X}_{L}}={{X}_{C}}\]
C) \[{{X}_{C}}=0\]
D) \[X_{L}^{2}+X_{C}^{2}=1\]
Correct Answer: B
Solution :
The current an a LCR circuit is given as \[l=\frac{{{E}_{0}}\sin (\omega t\,\pm \phi )}{\sqrt{{{R}^{2}}+{{({{X}_{L}}-{{X}_{C}})}^{2}}}}\] Current is maximum if, \[{{R}^{2}}+{{({{X}_{L}}-{{X}_{C}})}^{2}}\]= minimum \[\Rightarrow \] \[{{X}_{L}}-{{X}_{C}}=0\] or \[{{X}_{L}}={{X}_{C}}\]
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