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Definition of inductance and volume currents
If I have a uniform, infinitely thin current. The relationship between inductance and current by definition is:
$\phi_{B} = L I$
Where inductance($L$) the proportionality constant between a wires ...
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Deriving solenoid inductance using Faraday's Law
The inductance $L$ of a long solenoid of length $\ell$, cross-section area $A$, and turns per length $n$ is given by:
$$
L = \mu_0 n^2 \ell A
$$
where $\mu_0$ is the magnetic constant.
I am currently ...