Electro Magnetic Induction And Alternating Currents Question 29
Question: L, C and R represent physical quantities inductance, capacitance and resistance respectively. The combination representing dimension of frequency is [MP PET 1995; DCE 2001]
Options:
A) LC
B) $ {{(LC)}^{-1/2}} $
C) $ {{( \frac{L}{C} )}^{-1/2}} $
D) $ \frac{C}{L} $
Show Answer
Answer:
Correct Answer: B
Solution:
Frequency $ =\frac{1}{2\pi \sqrt{LC}} $
So the combination which represents dimension of frequency is
$ \frac{1}{\sqrt{LC}}={{(LC)}^{-1/2}} $
For series R-L-C circuit, $ Z=\sqrt{R^{2}+{{(X_{L}-X_{C})}^{2}}} $
$ =\sqrt{{{(300)}^{2}}+{{( 1000\times 0.9-\frac{10^{6}}{1000\times 2} )}^{2}}}=500\Omega $
