At what frequency would a capacitor of 2.5\muF used in the radio circuit have a reactance of 250\Omega
A
\(\frac{π}{800}\) Hz
B
\(\frac{800}{\pi}\) Hz
C
200π Hz
D
2000π Hz
Verified Correct Answer: B.
Physical Principles & Numerical Solution
X\(_c\) = \(\frac{1}{2\pi f c}\)
f = \(\frac{1}{ 2 \pi f C}\) = \(\frac{1}{\pi \times 2 \times 250 \times 2.5 \times 10^{-6}}\)
f = \(\frac{1\times 10^6}{ 1250 \pi}\)
f = \(\frac{800}{\pi}\)
Source: Myschool Past Questions Archive (Record #12261)