Final answer:
To find the maximum current through an inductor in an LC circuit, use the formula I = V / (2πfL), where I is the maximum current, V is the voltage amplitude, f is the frequency, and L is the inductance of the circuit.
Step-by-step explanation:
In an LC circuit, the maximum current through the inductor can be calculated using the formula:
I = V / (2πfL)
where I is the maximum current, V is the voltage amplitude, f is the frequency, and L is the inductance of the circuit.
For the given options, we can calculate the maximum current using the formula for different frequencies and then choose the option that matches the calculated value.
For example, at a frequency of 20 kHz, if the voltage amplitude is 9.0 V and the inductance is given, you can calculate the maximum current using the formula.