Final answer:
The value of the inductance in the radio receiver is approximately 0.540 µH.
Step-by-step explanation:
The value of inductance is calculated using the equation:
Inductance (L) = Voltage amplitude (V) / (Angular frequency (ω) × Current amplitude (I))
First, we need to convert the frequency from kilohertz (kHz) to hertz (Hz). 1 kHz = 1000 Hz, so the frequency is 1400 kHz = 1400 × 1000 Hz = 1400000 Hz.
Now, we can substitute the given values into the formula:
L = 2.40 V / (2 * π * 1400000 Hz * 0.200 A)
L ≈ 0.540 µH