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Self-inductance of a Solenoid. We will understand the concept with the help of an example. We will take a solenoid having N turns; let its length be ‘ l’, and the area of the cross-section be ‘A’, where current I is flowing through it. There will be a magnetic field ‘B’ at any given point in the solenoid.
Jun 29, 2024 · By using Faraday’s law and Lenz’s law, the self-inductance of a coil is calculated to be, $L=\dfrac{|\varphi|}{\left|\dfrac{\mathrm{d} I }{ \mathrm{d} t}\right|}$. Thus, the self-inductance of a solenoid is, $L=\dfrac{\mu_{0} N^{2} A}{l}$.
Sep 12, 2022 · Notice that the self-inductance of a long solenoid depends only on its physical properties (such as the number of turns of wire per unit length and the volume), and not on the magnetic field or the current. This is true for inductors in general.
It is clear that self inductance of solenoid depends upon the following factors: (1) On relative permeability of material inside the solenoid: If a soft iron core placed inside the solenoid, the magnetic flux linked with the solenoid increased hence, self inductance of the solenoid will also increases.
Example 11.2 Self-Inductance of a Solenoid Compute the self-inductance of a solenoid with N turns, length l , and radius R with a current I flowing through each turn, as shown in Figure 11.2.2.
Jul 11, 2021 · The self-inductance of a solenoid is \[L = \dfrac{\mu_0 N^2A}{l}(solenoid),\] where \(N\) is its number of turns in the solenoid, \(A\) is its cross-sectional area, \(l\) is its length, and \(\mu_0 = 4\pi \times 10^{-7} \, T \cdot m/A\) is the permeability of free space.
MasteringPhysics: Self-Inductance of a Solenoid. Description: Walks through calculation of self-inductance for a single solenoid with some discussion at the end. (version for algebra-based courses) Learning Goal: To better understand self-inductance, using the example of a long solenoid.
Show that the coefficient of self inductance (usually called simply the "inductance") of a long solenoid of length \(l\) and having \(n\) turns per unit length is \(\mu n^2 Al\), where I'm sure you know what all the symbols stand for.
Self-inductance of a solenoid. Re-arranging the previous equation, we get: L. = N. F B. I. This makes it look like the self-inductance is determined by B and I, but it is actually determined by the geometry of the coil and the material inside the coil. This is similar to what we saw with a capacitor, where the equation:
Then the inductance of the solenoid is L = Henry = mH. This is a single purpose calculation which gives you the inductance value when you make any change in the parameters.
