How to change the frequency of oscillations in the electrical circuit if the capacitance of the capacitor increases

| September 15, 2021 | education

How to change the frequency of oscillations in the electrical circuit if the capacitance of the capacitor increases by 2 times, and the inductance of the coil decreases by 8 times?

Given:
L2 = L1 / 8 ratio of the inductances of the coils;
C2 = 2C1 is the ratio of the capacitances of the capacitors.

Find: the ratio of the oscillation frequency of the circuits.

Let’s use the formula for the frequency of oscillations in the circuit.

n = 1 / (2 * Π * √ (L * C)); where L is the inductance of the coil, C is the capacitance of the capacitor.

n2 = 1 / (2 * Π * √ ((L1 / 8) * 2C1)) = 1 / (2 * Π * √ ((L1 * C1) / 4) =
= 1 / (2 * Π * 1/2 * √ (L1 * C1) = 2 * 1 / (2 * Π * 1/2 * √ (L1 * C1) = 2n1.

Answer: the frequency of oscillations in the electrical circuit will increase by 2 times.



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