A) \[40\,\Omega \]
B) \[30\,\Omega \]
C) \[50\,\Omega \]
D) can have any value
Correct Answer: C
Solution :
[c] \[V=I\sqrt{{{(20+10)}^{2}}+{{({{X}_{L}}+{{X}_{L}}-{{X}_{C}})}^{2}}}\] \[100=2\sqrt{{{(30)}^{2}}+{{(30+{{X}_{L}}-40)}^{2}}}\] \[{{(50)}^{2}}={{(30)}^{2}}+{{({{X}_{L}}-10)}^{2}}\] \[{{({{X}_{L}}-10)}^{2}}=80\times 20:{{X}_{L}}-10=40\]; \[{{X}_{L}}=50\,\Omega \]
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