Suppose you want the current amplitude in a pure inductor in a radio receiver to be `250 muA` when the voltage amplitude is `3.60V` at a frequency of 1.60 MHz,(corresponding to the upper is 3.60 V AM broadcast band). What inductive reactance is needed? What inductance is required?

Explanation

To solve the problem step by step, we will find the inductive reactance needed and then calculate the required inductance.

### Step 1: Identify the given values
- Current amplitude, \( I = 250 \, \mu A = 250 \times 10^{-6} \, A \)
- Voltage amplitude, \( V = 3.60 \, V \)
- Frequency, \( f = 1.60 \, MHz = 1.60 \times 10^{6} \, Hz \)

### Step 2: Calculate the inductive reactance \( X_L \)
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