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
Show Answer
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 $