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B is the magnetic flux density and Tc is the critical temperature. The Meissner effect is represented by

  • A.\(B = 0\) at \(T \le T_{c}\)
  • B.\(B = 0\) at \(T \gt T_{c}\)
  • C.\(B \ne 0\) at \(T \le T_{c}\)
  • D.\(\nabla B = 0\) at \(T = T_{c}\)

Answer: A

The Meissner effect is \(B = 0\) at \(T \le T_{c}\).

When a superconductor is cooled below its critical temperature in a magnetic field, it expels the magnetic flux from its interior: the flux density inside becomes zero. The material behaves as a perfect diamagnet (\(\chi = -1\)), which distinguishes a superconductor from a merely perfect conductor.

Above \(T_{c}\) the material is a normal conductor and the field penetrates, so \(B = 0\) at \(T \gt T_{c}\) is wrong, and \(B \ne 0\) below \(T_{c}\) denies the effect. \(\nabla B = 0\) is not a statement of the Meissner effect.

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