Electro Magnetic Induction And Alternating Currents Question 195

Question: As , value of inductive reactance $ X_{L} $ will be if source voltage is 100 volt

Options:

A) $ 40,\Omega $

B) $ 30,\Omega $

C) $ 50,\Omega $

D) can have any value

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Answer:

Correct Answer: C

Solution:

  • $ 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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