Final answer:
In an LC circuit, the self-inductance and capacitance determine the behavior of the circuit. The self-inductance can be calculated using the equation L = (1 / (4π²f²C)), where f is the frequency and C is the capacitance. Plugging in the values, we find that the self-inductance is approximately 1.33 mH.
Step-by-step explanation:
In an LC circuit, the self-inductance (L) and capacitance (C) are key parameters that determine the behavior of the circuit. The self-inductance is a measure of how the inductor resists changes in current, while the capacitance is a measure of how the capacitor stores charge.
The relationship between these parameters and the frequency (f) of oscillation is given by the equation:
f = 1 / (2π√(LC))
To find the self-inductance, we can rearrange the equation as:
L = (1 / (4π²f²C))
Plugging in the values for f = 60 Hz and C = 10 μF, we can calculate the self-inductance as follows:
L = (1 / (4π² * (60)^2 * 10e-6))
L ≈ 1.33 mH