A ring made of a superconductor is placed into a homogeneous magnetic field whose intensity grows from zero to $B_{0} = 25 T$ . The plane of the ring is perpendicular to the lines of force of magnetic field. What is the magnitude of the induced current appearing in the ring? The radius of the ring is $r = 1 / \sqrt{π} m$ , and its inductance $L = 5 H$

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Detailed Solution

Since the resistance of the ring is zero, the emf required for the production of current is zero.

$ϕ_{i} = 0 \Rightarrow ϕ_{f} = 0 \Rightarrow π r^{2} B_{0} = L_{i} \Rightarrow i = \frac{π r^{2} B_{0}}{L} \Rightarrow i = 7 A$

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