Problem 1 : When a superconductor is placed in a strong magnetic field, the superconducting properties are destroyed. Suppose that for a particular superconductor, this critical field has value \"4;. Consider a long, cylindrical rod (radius R) made of this superconductor and assume that the bulk approximation holds. Because of sample geometry, the applied field that destroys superconductivity in at least part of the sample is not necessarily Hg As we now demonstrate. (A) if a magnetic field is applied along the axis of the rod, what is the lowest value of the applied field (in terms of HC) that destroys the superconducting properties in at least part of the material. (B) Repeat part (A) when the applied field is orthogonal to the axis of the rod