Wavelength of Radio Waves Emitted by a Resonant Circuit in a Radio Receiver

Click For Summary
SUMMARY

The discussion focuses on calculating the wavelength of radio waves emitted by a resonant circuit in a radio receiver tuned to a frequency of 2.81 MHz, achieved with an inductor value of 0.151 mH and a capacitor value of 21.2 pF. The correct formula for determining wavelength is provided: λ = c/f, where c represents the speed of light. This formula is essential for accurately calculating the wavelength, as using the period (1/f) is incorrect for this purpose. Participants emphasize the importance of understanding the relationship between frequency and wavelength in electromagnetic waves.

PREREQUISITES
  • Understanding of resonant circuits in radio receivers
  • Knowledge of electromagnetic wave propagation
  • Familiarity with the speed of light (c = 3 x 10^8 m/s)
  • Basic skills in frequency and wavelength calculations
NEXT STEPS
  • Research the relationship between frequency and wavelength in electromagnetic waves
  • Learn about resonant circuit design and tuning techniques
  • Explore the implications of inductor and capacitor values on circuit performance
  • Study the principles of wave propagation and speed in different media
USEFUL FOR

Electronics enthusiasts, radio frequency engineers, students studying telecommunications, and anyone interested in the principles of wave mechanics and resonant circuits.

waywardtigerlily
Messages
10
Reaction score
0
A resonant circuit in a radio receiver is tuned to a certian station when the inductor has a value of 0.151mH and the capacitor has a value of 21.2pF. Calculate the frequency of the radio station.

Frequency is 2.81 MHz ( I got this one right)

B) what is the wavelength of the radiowaves emited by the radio station?
I was told to do this just take 1/f,but this gave me a wrong answer. Is there another way of going about it?
 
Physics news on Phys.org
1\f is the period,

for wavelength you want to use the equation for all waves

v = f \lambda

where v is the speed of propagation of the wave
 
For this problem, v = c. All electromagnetic waves travel at the speed of light, so:

f = c/\lambda
 
Well there goes the chance of the OP doing any of the work for himself.
 
A lot of people don't know that, its not a question of doing work, its just a fact he needs.
 

Similar threads

  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 5 ·
Replies
5
Views
11K
  • · Replies 2 ·
Replies
2
Views
4K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 10 ·
Replies
10
Views
1K
Replies
6
Views
2K
Replies
5
Views
2K
  • · Replies 2 ·
Replies
2
Views
5K