Answer:
1.274 H
Explanation:
using
V = XLI...................Equation 1
Where V = voltage, XL = Inductive reactance, I = current.
Make XL the subject of the equation
XL = V/I.............. Equation 2
Given: V = 6.00 V, I = 3.00 mA = 0.003 A
Substitute into equation 2
XL = 6/0.003
XL = 2000 Ω
But,
XL = 2πFL............... Equation 3
Where F = Frequency, L = inductance.
Make L the subject of the equation
L = XL/(2πF).............. Equation 4
Given: F = 250 Hz, XL = 2000 Ω
Constant: π = 3.14
L = 2000/(2×3.14×250)
L = 2000/1570
L = 1.274 H.
