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A toroid is filled with liquid oxygen that has a susceptibility of 4×10-³. The toroid has 2000 turns and carries a current of 15A. Its mean radius is 20cm and the radius of its cross section is 0.8cm. What is the percentage decrease in B produce by the liquid oxygen? a) 4% b) 0.4% c) 2% d) 1.8% Correct option is b. Can you explain this answer?
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A toroid is filled with liquid oxygen that has a susceptibility of 4×1...
Solution:
Given, susceptibility (χ) = 4×10⁻³, number of turns (N) = 2000, current (I) = 15A, mean radius (R) = 20cm and radius of cross section (r) = 0.8cm
The magnetic field (B) produced by the toroid is given by:
B = (μ₀NI)/(2πR) …(1)
where, μ₀ is the permeability of free space.
Now, the magnetic field produced by the toroid when it is filled with the liquid oxygen is given by:
B’ = B(1-χ) …(2)
where, χ is the susceptibility of the liquid oxygen.
The percentage decrease in B is given by:
[(B-B’)/B] × 100
Substituting the values from equations (1) and (2), we get:
[(μ₀NI)/(2πR) - (μ₀NI)/(2πR)(1-χ)]/[(μ₀NI)/(2πR)] × 100
Simplifying, we get:
χ × 100
Substituting the given value of susceptibility, we get:
4×10⁻³ × 100 = 0.4%
Therefore, the percentage decrease in B produced by the liquid oxygen is 0.4%.
Given, susceptibility (χ) = 4×10⁻³, number of turns (N) = 2000, current (I) = 15A, mean radius (R) = 20cm and radius of cross section (r) = 0.8cm
The magnetic field (B) produced by the toroid is given by:
B = (μ₀NI)/(2πR) …(1)
where, μ₀ is the permeability of free space.
Now, the magnetic field produced by the toroid when it is filled with the liquid oxygen is given by:
B’ = B(1-χ) …(2)
where, χ is the susceptibility of the liquid oxygen.
The percentage decrease in B is given by:
[(B-B’)/B] × 100
Substituting the values from equations (1) and (2), we get:
[(μ₀NI)/(2πR) - (μ₀NI)/(2πR)(1-χ)]/[(μ₀NI)/(2πR)] × 100
Simplifying, we get:
χ × 100
Substituting the given value of susceptibility, we get:
4×10⁻³ × 100 = 0.4%
Therefore, the percentage decrease in B produced by the liquid oxygen is 0.4%.
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A toroid is filled with liquid oxygen that has a susceptibility of 4×10-³. The toroid has 2000 turns and carries a current of 15A. Its mean radius is 20cm and the radius of its cross section is 0.8cm. What is the percentage decrease in B produce by the liquid oxygen? a) 4% b) 0.4% c) 2% d) 1.8% Correct option is b. Can you explain this answer?
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A toroid is filled with liquid oxygen that has a susceptibility of 4×10-³. The toroid has 2000 turns and carries a current of 15A. Its mean radius is 20cm and the radius of its cross section is 0.8cm. What is the percentage decrease in B produce by the liquid oxygen? a) 4% b) 0.4% c) 2% d) 1.8% Correct option is b. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A toroid is filled with liquid oxygen that has a susceptibility of 4×10-³. The toroid has 2000 turns and carries a current of 15A. Its mean radius is 20cm and the radius of its cross section is 0.8cm. What is the percentage decrease in B produce by the liquid oxygen? a) 4% b) 0.4% c) 2% d) 1.8% Correct option is b. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A toroid is filled with liquid oxygen that has a susceptibility of 4×10-³. The toroid has 2000 turns and carries a current of 15A. Its mean radius is 20cm and the radius of its cross section is 0.8cm. What is the percentage decrease in B produce by the liquid oxygen? a) 4% b) 0.4% c) 2% d) 1.8% Correct option is b. Can you explain this answer?.
A toroid is filled with liquid oxygen that has a susceptibility of 4×10-³. The toroid has 2000 turns and carries a current of 15A. Its mean radius is 20cm and the radius of its cross section is 0.8cm. What is the percentage decrease in B produce by the liquid oxygen? a) 4% b) 0.4% c) 2% d) 1.8% Correct option is b. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A toroid is filled with liquid oxygen that has a susceptibility of 4×10-³. The toroid has 2000 turns and carries a current of 15A. Its mean radius is 20cm and the radius of its cross section is 0.8cm. What is the percentage decrease in B produce by the liquid oxygen? a) 4% b) 0.4% c) 2% d) 1.8% Correct option is b. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A toroid is filled with liquid oxygen that has a susceptibility of 4×10-³. The toroid has 2000 turns and carries a current of 15A. Its mean radius is 20cm and the radius of its cross section is 0.8cm. What is the percentage decrease in B produce by the liquid oxygen? a) 4% b) 0.4% c) 2% d) 1.8% Correct option is b. Can you explain this answer?.
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