FYKOS Year 32 Series 3 Problem 4 — destruction of a copper loop · FYKOS 32 #32.3.4

Physics · electromagnetism

Problem

A copper flexible circular loop of radius rr is placed in a uniform magnetic field BB. The vector of magnetic induction is perpendicular to the plane determined by the loop. The maximal allowed tensile strength of the material is σp\sigma _p. The flux linkage of this circular loop is changing in time as Φ(t)=Φ0+αt,\Phi (t) = \Phi _0 + \alpha t, where α\alpha is a positive constant. How long does it take to reach σp\sigma _p?

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