The limitations of a simple model for

[LoBun]

...radio transmission.. what could they be?

Not exactly Maths, I know, but its Maths that I need it for..

Thanks!

 

[HallsofIvy]

I'm not sure what you would consider a model but I've seen this in differential equations texts:

Suppose we have an electrical circuit consisting of variable resistance, capacitor, and coil. The charge on the capacitor (whose derivative is the currant in the circuit) is given by
$$L\frac{d^2Y}{dt^2}+ \frac{1}{C}\frac{dY}{dx}+ Ry= 0$$
where L is the inductance, C the capacitance, and R the resistance in the circuit.
One can show that the solution is an alternating current that produces an electromagnetic wave.

If you have another circuit set up across the room, the waves from the first circuit will act as an external force on the second circuit. If the two circuits are identical (which can be done by altering the variable inductance, etc.) you have resonance so the very very tiny force of the waves will produce a noticable current in the second circuit.

 

[tacman]

The limitations of a simple model for radio transmission could include:

1. Lack of accuracy: A simple model may not accurately represent the complex and dynamic nature of radio waves and their behavior in the real world. This could lead to inaccurate predictions and results.

2. Limited frequency range: Simple models may only work for a specific range of frequencies and may not be applicable to all types of radio transmissions. This could limit their usefulness in real-life scenarios.

3. Ignoring environmental factors: Simple models may not take into account external factors such as weather conditions, terrain, and interference from other devices, which can significantly impact radio transmission.

4. Simplified antenna design: Antennas play a crucial role in radio transmission, and a simple model may not accurately represent the complex design and functionality of different types of antennas.

5. Lack of consideration for modulation techniques: Simple models may not consider the various modulation techniques used in radio transmission, which can affect the quality and reliability of the transmission.

6. Inadequate for advanced systems: With the advancement of technology, radio transmission systems have become more complex, incorporating features like multiple antennas, adaptive coding, and diversity techniques. A simple model may not be sufficient to analyze and optimize such systems.

7. Does not account for non-linear effects: Radio transmission can experience non-linear effects such as interference, distortion, and noise, which cannot be accurately captured by a simple model.

In conclusion, while a simple model may be useful for basic understanding and initial analysis, it may not be suitable for real-world applications where accuracy and complexity are crucial. More advanced and comprehensive models are needed to overcome these limitations and provide a more accurate representation of radio transmission.