# The oscillating circuit has a natural frequency of 60 kHz. How many kilohertz will the frequency change

October 1, 2021 | education

| **The oscillating circuit has a natural frequency of 60 kHz. How many kilohertz will the frequency change if the inductance is increased 2.25 times and the capacitance is reduced by 2 times?**

Initial data: ν1 (natural frequency of the oscillatory circuit) = 60 kHz; L2 = 2.25L1 (change in loop inductance); C2 = 0.5C1 (change in the capacitance of the circuit).

1) Determine the change in the oscillation frequency of the circuit: ν2 = 1 / T = 1 / (2 * Π * √ (L2 * C2)) = 1/2 * Π * √ (2.25L1 * 0.5C1)) = (1 / √ (1.125)) * ν1 = 0.9428ν1.

2) The value of the vibration frequency: ν2 = 0.9428 * 60 * 10 ^ 3 = 56.568 kHz.

3) Change in frequency: Δν = ν1 – ν2 = 60 – 56.568 = 3.432 kHz.

Answer: The oscillation frequency will decrease by 3.432 kHz.

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.