If the current in a pure inductor in a radio is 120microA when the voltage amplitude is 0.3v at a frequency of 1.2HZ. Calculate the inductance

To calculate the inductance of the pure inductor in the radio, we can use the formula:

V = L * (2 * π * f) * I

Where:
V = Voltage amplitude = 0.3V
L = Inductance of the inductor (unknown)
f = Frequency = 1.2Hz
I = Current = 120μA = 120 x 10^-6 A

Plugging in the values:

0.3 = L * (2 * π * 1.2) * 120 x 10^-6

0.3 = L * 7.54 x 10^-5

L = 0.3 / (7.54 x 10^-5)
L = 3973.1 μH

Therefore, the inductance of the pure inductor in the radio is 3973.1 μH (microhenries).