What is the Inductance of the Coil in a Radio Tuning Circuit?

  • Thread starter Thread starter SAT2400
  • Start date Start date
  • Tags Tags
    Coil Inductance
Click For Summary
SUMMARY

The inductance of the coil in a radio tuning circuit is calculated using the formula f = 1/(2π√(LC)). Given a maximum current at a capacitance of 300pF and a frequency of 40kHz, the correct inductance value is 52.8 x 10-3 H. A common error in calculations led to an incorrect result of 52.8 x 103 H, highlighting the importance of proper unit conversion and calculation accuracy.

PREREQUISITES
  • Understanding of LC circuits and resonance
  • Familiarity with the formula for resonant frequency
  • Basic knowledge of unit conversions (pF to F, kHz to Hz)
  • Proficiency in algebraic manipulation of equations
NEXT STEPS
  • Study the derivation of the resonant frequency formula for LC circuits
  • Learn about the effects of varying capacitance on circuit behavior
  • Explore practical applications of inductance in radio frequency circuits
  • Investigate common mistakes in electrical calculations and how to avoid them
USEFUL FOR

Students in electrical engineering, hobbyists building radio circuits, and anyone interested in understanding the principles of inductance and resonance in tuning circuits.

SAT2400
Messages
68
Reaction score
0
Inductance of the coil??

Homework Statement


A radio has a tuning circuit consisting of a variable capacitor and antenna coil. IF the circuit has a maximum current when C=300pF and f=40kHz, what's the inductance of the coil??


Homework Equations



f= 1/(2pi root (LC))



The Attempt at a Solution



L=[1/(2pi(40000))]^2 times 1/(300E-12)

But, I didn't get the answer :52.8x 10^3 was the answer;;
 
Physics news on Phys.org


The right answer is 52.8x10^(-3) H.

ehild
 

Similar threads

Does Mutual Inductance Affect Voltage in an Open Circuit?
  • · Replies 1 ·
Replies
1
Views
1K
Flux through a coil due to Self-Inductance
  • · Replies 6 ·
Replies
6
Views
4K
Determining Inductance L in an LC Circuit
  • · Replies 5 ·
Replies
5
Views
2K
MRI & Impedance: Tune RF Coil for 1.5/3.0 Tesla
  • · Replies 21 ·
Replies
21
Views
3K
Derivation of self inductance formula in an LC circuit
  • · Replies 2 ·
Replies
2
Views
2K
Correct statement about coils moving in and out of a magnetic field
  • · Replies 12 ·
Replies
12
Views
3K
Measuring the inductance of a micron feature size gold coil
  • · Replies 5 ·
Replies
5
Views
2K
PVC Induction Heating Coil Design (early thoughts)
  • · Replies 51 ·
2
Replies
51
Views
4K
Undergrad Mutual inductance in a transformer
  • · Replies 16 ·
Replies
16
Views
5K
What charge circulates through the coil?
  • · Replies 17 ·
Replies
17
Views
2K