Solution of Superconductivity Numericals


1. Lead has a superconducting transition temperature of 7.26 K. If initial field at 0 K is 50 ×
103 Am−1, calculate the critical field at 6 K. If the lead is in the form of a wire with diameter
1 mm, then calculate the critical current it can carry.

2. The critical field for niobium is 1 × 105 A/m at 8 K and 2 × 105 A/m at 0 K. Calculate the
transition temperature of the element.

3. A superconducting material has a critical temperature of 3.7 K in zero magnetic field and a
critical field of 0.02 T at 0 K. Find the critical field at 3 K.

4. The critical field for lead is 1.2 × 105 A/m at 8 K and 2.4 × 105 A/m at 0 K. Find the critical
temperature of the material.

5. The critical fields for lead are 1.2 × 105 A/m and 3.6 × 105 A/m at 12 K and 10 K, respectively. Find its critical temperature and critical field at 0 K and 3.2 K.

6. Determine the temperature at which the critical field becomes half of its value at 0 K, if
critical temperature of a superconductor when no magnetic field present is Tc.

7. A superconducting sample has a critical temperature of 3.722 K in zero magnetic field and a
critical field of 0.0305 T at 0 K. Evaluate the critical field at 2 K.

8. Determine the transition temperature and critical field at 4.2 K for a given specimen of a
superconductor if the critical fields are 1.41 × 105 and 4.205 × 105 A/m at 14.1 K and 12.9 K, respectively.

9. The material lead (Pb) behaves as a superconductor at a temperature of Tc = 7.26 K. If the
value of critical magnetic field of lead at T = 0 K is Hc = 8 × 105 A/m, find the critical magnetic field of lead at 4 K.

10. The critical temperature of a given superconducting sample is 1.19 K with mass 26.91. Find
the critical temperature when the isotope mass changes to 32.13.

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"Meet Mr. Akhand Dutta, the visionary Founder and Owner of CEWA (Civil Engineering With Akhand Dutta). Currently, The Placement Coordinator for Structural Engineering at the prestigious National Institute of Technology, Kurukshetra. With a lif…

7 comments

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