The inductance, in microhenrys, of Tarik's solenoid 196μH.
<h3>What is Solenoid?</h3>
A coil of enameled or insulated wire coiled on a rod-shaped form constructed of solid iron, solid steel, or powdered iron is referred to as a solenoid. These kinds of gadgets can be utilised as miniaturised wireless receiving antennas, inductors in electrical circuits, and as electromagnets.
The inductance (L) of a coil wire (e.g solenoid) is given by;
L = μ₀N²A / l --------------(i)
Where;
l = the length of the solenoid
A = cross-sectional area of the solenoid
N= number of turns of the solenoid
μ₀ = permeability of free space = 4π x 10⁻⁷ N/A²
From the question;
N = 185 turns
l = 2.19cm = 0.019m
diameter, d = 7.51mm = 0.00751m
But;
A = π d² / 4 [Take π = 3.142 and substitute d = 0.00751m]
A = 3.142 x 0.00751² / 4
A = 4.42 x 10⁻⁵m²
Substitute these values into equation (i) as follows;
L = 4π x 10⁻⁷ x 185² x 4.42 x 10⁻⁵ / 0.0219 [Take π = 3.142]
L = 4(3.142) x 10⁻⁷ x 185² x 4.42 x 10⁻⁵ / 0.0219
L = 196 x 10⁻⁶ H
L = 196 μH
Therefore the inductance in microhenrys of the Tarik's solenoid is 196 μH.
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