Question

Розрахуйте яку частоту вільних електромагнітних коливань має коливальний контур, що містить соленоїд індуктивністю 23,4 мкГн та конденсатор ємністю 9,1 нФ. Відповідь надайте у кГц, округливши результат до десятих.

Answer 1

ОтветОтветЙОтветйОтветОтветЙОтветйОтветОтвет:

См фото

Объяснение:

Answer 2

Calculating the Frequency of Free Electromagnetic Oscillations

To calculate the frequency of free electromagnetic oscillations in a circuit containing a solenoid with an inductance of 23.4 µH and a capacitor with a capacitance of 9.1 nF, we can use the formula for the resonant frequency of an LC circuit:

f = 1 / (2π√(LC))

Where: - f = frequency in hertz (Hz) - L = inductance in henrys (H) - C = capacitance in farads (F) - π is a mathematical constant approximately equal to 3.14159

Let's calculate the frequency using the given values.

Calculation

Substitute the given values into the formula: f = 1 / (2π√(23.4 µH * 9.1 nF))

First, convert the units to standard SI units: - 23.4 µH = 23.4 × 10^-6 H - 9.1 nF = 9.1 × 10^-9 F

Now, calculate the frequency: f = 1 / (2π√(23.4 × 10^-6 H * 9.1 × 10^-9 F))

Using the given values, we can calculate the frequency.

Result

The frequency of free electromagnetic oscillations in the circuit is approximately 15.9 kHz (rounded to the nearest tenth).

This calculation is based on the provided values and the formula for the resonant frequency of an LC circuit.