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On-axis magnetic field of a circular current loop

A circular loop of radius

R

carrying electric current

I

has, on its axis,

B (z) = \frac{μ _{0} I R ^{2}}{2 ( R ^{2} + z ^{2} ) ^{3/2}} \overset{z}{^},

where the sign of

\overset{z}{^}

is fixed by the right-hand rule. At its centre,

B (0) = μ_{0} I / (2 R)

.

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