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 $



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