Question

In an A.C. circuit, capacitance of $5\mu F$ has a reactance of $\frac{1}{1000}\Omega$. The frequency of A.C. in $MHz$ will be

• A. $\frac{1000}{\pi }$
• B. $\frac{100}{\pi }$
• C. $200$
• D. $5000$

Answer 1

Answer: (B)

$\frac{100}{\pi }$

$X_C=\frac{1}{\omega C}$

$X_C=\frac{1}{2\pi fC}$

$f=\frac{1}{2\pi C{X}_C}$

$\Rightarrow f=\frac{1}{2\pi \times 5\times {10}^{-6}\times \frac{1}{1000}}$

$\Rightarrow f=\frac{100}{\pi }MHz$