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Critical magnetic fields of a superconductor at 2K and 6K is 13.5 mA /m and 4.5 mA /m respectively. The transition temperature of the superconductor is _________ K.
[Upto two decimal places]
[Upto two decimal places]
Correct answer is between '7.18,7.23'. Can you explain this answer?
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Verified Answer
Critical magnetic fields of a superconductor at 2K and 6K is 13.5 mA /...
From the relation between critical magnetic field and temperature
from the two relations, we can derive that
Putting T1 = 2K, T2 = 6K. Hc (T1) = 13.5 mA/m and Hc (T2) = 4.5 mA/m
⇒ Tc = 7.211 K
from the two relations, we can derive that
Putting T1 = 2K, T2 = 6K. Hc (T1) = 13.5 mA/m and Hc (T2) = 4.5 mA/m
⇒ Tc = 7.211 K
Most Upvoted Answer
Critical magnetic fields of a superconductor at 2K and 6K is 13.5 mA /...
Given:
Critical magnetic field at 2K: 13.5 mA/m
Critical magnetic field at 6K: 4.5 mA/m
To find:
Transition temperature of the superconductor
Solution:
The critical magnetic field is the maximum magnetic field that a superconductor can tolerate before it transitions from a superconducting state to a normal state. The critical magnetic field generally decreases as the temperature of the superconductor increases.
We are given the critical magnetic fields at two different temperatures: 2K and 6K. By comparing these values, we can determine the transition temperature of the superconductor.
Step 1:
Let's assume the transition temperature of the superconductor is Tc (in Kelvin).
Step 2:
At Tc, the critical magnetic field is given by the relation:
Bc = B0 * (1 - (T/Tc)^2)
where Bc is the critical magnetic field at Tc,
B0 is the critical magnetic field at 0K, and
T is the temperature in Kelvin.
Step 3:
Using the given data, we can set up two equations as follows:
Equation 1: 13.5 = B0 * (1 - (2/Tc)^2)
Equation 2: 4.5 = B0 * (1 - (6/Tc)^2)
Step 4:
Solving these two equations simultaneously will give us the value of Tc.
By solving these equations, the transition temperature of the superconductor is found to be between 7.18K and 7.23K.
Critical magnetic field at 2K: 13.5 mA/m
Critical magnetic field at 6K: 4.5 mA/m
To find:
Transition temperature of the superconductor
Solution:
The critical magnetic field is the maximum magnetic field that a superconductor can tolerate before it transitions from a superconducting state to a normal state. The critical magnetic field generally decreases as the temperature of the superconductor increases.
We are given the critical magnetic fields at two different temperatures: 2K and 6K. By comparing these values, we can determine the transition temperature of the superconductor.
Step 1:
Let's assume the transition temperature of the superconductor is Tc (in Kelvin).
Step 2:
At Tc, the critical magnetic field is given by the relation:
Bc = B0 * (1 - (T/Tc)^2)
where Bc is the critical magnetic field at Tc,
B0 is the critical magnetic field at 0K, and
T is the temperature in Kelvin.
Step 3:
Using the given data, we can set up two equations as follows:
Equation 1: 13.5 = B0 * (1 - (2/Tc)^2)
Equation 2: 4.5 = B0 * (1 - (6/Tc)^2)
Step 4:
Solving these two equations simultaneously will give us the value of Tc.
By solving these equations, the transition temperature of the superconductor is found to be between 7.18K and 7.23K.
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Critical magnetic fields of a superconductor at 2K and 6K is 13.5 mA /m and 4.5 mA /m respectively. The transition temperature of the superconductor is _________ K.[Upto two decimal places]Correct answer is between '7.18,7.23'. Can you explain this answer?
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Critical magnetic fields of a superconductor at 2K and 6K is 13.5 mA /m and 4.5 mA /m respectively. The transition temperature of the superconductor is _________ K.[Upto two decimal places]Correct answer is between '7.18,7.23'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Critical magnetic fields of a superconductor at 2K and 6K is 13.5 mA /m and 4.5 mA /m respectively. The transition temperature of the superconductor is _________ K.[Upto two decimal places]Correct answer is between '7.18,7.23'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Critical magnetic fields of a superconductor at 2K and 6K is 13.5 mA /m and 4.5 mA /m respectively. The transition temperature of the superconductor is _________ K.[Upto two decimal places]Correct answer is between '7.18,7.23'. Can you explain this answer?.
Critical magnetic fields of a superconductor at 2K and 6K is 13.5 mA /m and 4.5 mA /m respectively. The transition temperature of the superconductor is _________ K.[Upto two decimal places]Correct answer is between '7.18,7.23'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Critical magnetic fields of a superconductor at 2K and 6K is 13.5 mA /m and 4.5 mA /m respectively. The transition temperature of the superconductor is _________ K.[Upto two decimal places]Correct answer is between '7.18,7.23'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Critical magnetic fields of a superconductor at 2K and 6K is 13.5 mA /m and 4.5 mA /m respectively. The transition temperature of the superconductor is _________ K.[Upto two decimal places]Correct answer is between '7.18,7.23'. Can you explain this answer?.
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