A ring of radius \( a=50 \mathrm{~mm} \) made of thin wire of radius \( b=1.0 \mathrm{~mm} \) wa...

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A ring of radius \( a=50 \mathrm{~mm} \) made of thin wire of radius \( b=1.0 \mathrm{~mm} \) was located in a uniform magnetic field with induction \( B=0.50 \mathrm{mT} \) so that the ring plane was perpendicular to the vector B. Then the ring was cooled down to a superconducting state, and the magnetic field was switched off. Find the ring current after that. Note that the inductance of a thin ring along which the surface current flows is equal to \( L=\mu_{0} a\left(\ln \frac{8 a}{b}-2\right) \)
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