The circuit consists of inductance and capacitance connected in series. Determine the inductance

The circuit consists of inductance and capacitance connected in series. Determine the inductance at resonance of voltages for alternating current with a frequency of 1500 kHz, if the capacitance of the circuit is 25 Mf

To determine the value of the inductance of a given circuit at a voltage resonance, we use the formula: Lres = 1 / (ω2 * C) = 1 / ((2 * Π * ν) ^ 2 * C).

Variables: ν – AC frequency (ν = 1500 kHz = 1500 * 10 ^ 3 Hz); C is the capacitance of the circuit (L = 25 μF = 25 * 10 ^ -6 F).

Let’s perform the calculation: Lres = 1 / ((2 * Π * ν) ^ 2 * C) = 1 / ((2 * 3.14 * 1500 * 10 ^ 3) ^ 2 * 25 * 10 ^ -6) = 4, 51 * 10 ^ -10 H = 541 pH.

Answer: The inductance of a given circuit at voltage resonance is 541 pH.