The circular frequency of free electrical vibrations in the circuit is 2000 rad / s.

| July 15, 2021 | education

The circular frequency of free electrical vibrations in the circuit is 2000 rad / s. Find the electrical capacity of the circuit in microfarads if its inductance is 0.25 H.

The frequency of electrical oscillations of the electromagnetic circuit is related to the oscillation period, and the oscillation period can be expressed by the Thomson formula T = 2n√LC.

Let’s get rid of the square root, for this we will square the wallpaper of the part of the equation, we will get:

T ^ 2 = 4n ^ 2 * LC. From this formula, we express the capacitance of the capacitor C = T ^ 2 / (4n ^ 2 * L). Knowing that the period is T = 1/2000 = 0.0005 = 5 * 10 ^ (- 4) s., And the number n = 3.14, we finally get:

C = (5 * 10 ^ (- 4)) ^ 2 / (40 * 0.25) = 25 * 10 ^ (- 6) / 10 = 2.5 Mkf.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.