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The self-inductance of a long solenoid with $n$ turns per unit length, cross-section $A$ and length $\ell$ is:
A$\mu_0 n \ell A$
B$\mu_0 n^2 \ell A$
C$\mu_0 n^2 / (\ell A)$
D$\mu_0 n A / \ell$
Answer & Solution
Correct answer: B. $\mu_0 n^2 \ell A$
$L = \mu_0 n^2 \ell A$ (with $\ell A$ = interior volume). Derived from $L = N\phi_B/i$ using $B = \mu_0 n i$.
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