Q. An AM transmitter employs a 50 $\mu$H coil and a 1 nF capacitor. The carrier frequency will be

A) 712 kHz
B) 512 kHz
C) 812 kHz
D) 612 kHz
Explanation

(a) Here, $L = 50\ \mu H = 50 \times 10^{- 6}H$
$C = 1\ nF = 10^{- 9}F$
$f_{c} = \frac{1}{2\pi\sqrt{LC}} = \frac{1}{2 \times \frac{22}{7}\sqrt{50 \times 10^{- 6} \times 10^{- 9}}}$
$= \frac{7 \times 10^{7}}{44\sqrt{5}}\ Hz$
$= 711.5\ Hz \approx 712\ kHz$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.