Electro Magnetic Induction And Alternating Currents Question 34
Question: The frequency for which a $ 5,\mu F $ capacitor has a reactance of $ \frac{1}{1000} $ ohm is given by [MP PET 1997]
Options:
A) $ \frac{100}{\pi }MHz $
B) $ \frac{1000}{\pi }Hz $
C) $ \frac{1}{1000}Hz $
D) 1000 Hz
Show Answer
Answer:
Correct Answer: A
Solution:
$ X_{C}=\frac{1}{2\pi \nu C} $
$ \Rightarrow ,\frac{1}{1000}=\frac{1}{2\pi \times \nu \times 5\times {{10}^{-6}}} $
$ \Rightarrow \nu =\frac{100}{\pi }MHz $
