Answer to Question #217288 in Electricity and Magnetism for Quanta

Question

An electric induction coil of length of 10cm has 1000 turns of radius 5cm. (μ₀=4π x 10^-7S.I). What is the value of the inductance?

Answer 1

$L=\frac{\mu_0 N^2S}l=\frac{\mu_0\pi N^2r^2}l=\frac{4\pi^2\cdot 10^{-7}\cdot 1000^2\cdot 0.05^2}{0.1}=0.1~H.$