Question

Радиоприемник настроен на длину волны 25 м. Какова индуктивность входного контура радиоприемника, если его емкость равна 20 пФ? Спасибо за ответ!

Answer 1

Резонансная частота входного контура

 

$f=\frac{1}{2\pi\sqrt{LC}}\\\\ L=\frac{1}{(2\pi f)^2 C}=\frac{\lambda^2}{(2\pi c)^2 C}=\\\\ =\frac{25^2}{(2\cdot 3,14\cdot 3\cdot 10^8)^2\cdot 20\cdot 10^{-12}}\approx \frac{625}{355\cdot 20\cdot 10^4}\approx 8,8\cdot 10^{-6}$

 

Индуктивность входного контура 8,8 мкГн 

Answer 2

Calculation of Inductance of the Input Circuit of a Radio Receiver

To calculate the inductance of the input circuit of a radio receiver, we need to use the formula:

L = 1 / (4π²f²C)

Where: - L is the inductance of the input circuit in henries (H) - π is a mathematical constant approximately equal to 3.14159 - f is the frequency of the radio wave in hertz (Hz) - C is the capacitance of the input circuit in farads (F)

In this case, the frequency of the radio wave is not provided, so we cannot calculate the inductance accurately. However, we can provide an example calculation using a hypothetical frequency.

Let's assume the frequency of the radio wave is 1 megahertz (1 MHz) or 1,000,000 Hz. Given that the capacitance of the input circuit is 20 picofarads (20 pF), we can calculate the inductance as follows:

L = 1 / (4π²f²C) = 1 / (4π² * 1,000,000² * 20 * 10^-12) = 1.5915 microhenries (μH)

Please note that this is just an example calculation using a hypothetical frequency. To calculate the inductance accurately, we need the actual frequency of the radio wave.

If you have the frequency of the radio wave, please provide it so that we can calculate the inductance more accurately.