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The electric current in a circular coil of two turns produced a magnetic induction of 0.2T at its centre. The coil is unwound and is rewound into a circular coil of four turns. The magnetic induction at the centre of the coil now is, in tesla (if same current flows in the coil)
  • a)
    0.2
  • b)
    0.4
  • c)
    0.6
  • d)
    0.8
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The electric current in a circular coil of two turns produced a magnet...
From the question , 2(2πr) =4(4πR).......So , the radius of second loop is half of the first loop.Now , the formula is B =n*u*i/2*r......As, u and i are constant , and let the radius and no:of turns of first loop be r , n and that of second loop be R , N ........ Now b = n/r ....... B= N/R .......b/B = n*R/r*N. Solving this give , b/B = 1/4.....B = 4 * b , B = 4 * 0.2 B = 0.8 !
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The electric current in a circular coil of two turns produced a magnet...

Given Data:
- Number of turns in the initial coil, N₁ = 2
- Magnetic induction at the centre of the initial coil, B₁ = 0.2 T
- Number of turns in the final coil, N₂ = 4

Formula:
- The magnetic induction at the centre of a circular coil is given by the formula:
B = (μ₀ * N * I) / (2 * r)
where,
B = Magnetic induction
μ₀ = Permeability of free space (constant)
N = Number of turns in the coil
I = Current flowing through the coil
r = Radius of the coil

Calculation:
- Let's assume the current flowing through both coils is the same, so the current can be canceled out from both equations.

For the initial coil with 2 turns:
- B₁ = (μ₀ * 2) / (2 * r₁)
- B₁ = μ₀ / r₁

For the final coil with 4 turns:
- B₂ = (μ₀ * 4) / (2 * r₂)
- B₂ = 2 * (μ₀ / r₂)

- As per the question, the current is the same in both coils, so B₁ = B₂
- μ₀ / r₁ = 2 * (μ₀ / r₂)
- r₂ = r₁ / 2

Conclusion:
- The magnetic induction at the centre of the final coil with 4 turns will be 0.8 T, which is twice the induction of the initial coil with 2 turns.
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The electric current in a circular coil of two turns produced a magnetic induction of 0.2T at its centre. The coil is unwound and is rewound into a circular coil of four turns. The magnetic induction at the centre of the coil now is, in tesla (if same current flows in the coil)a)0.2b)0.4c)0.6d)0.8Correct answer is option 'D'. Can you explain this answer?
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The electric current in a circular coil of two turns produced a magnetic induction of 0.2T at its centre. The coil is unwound and is rewound into a circular coil of four turns. The magnetic induction at the centre of the coil now is, in tesla (if same current flows in the coil)a)0.2b)0.4c)0.6d)0.8Correct answer is option 'D'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about The electric current in a circular coil of two turns produced a magnetic induction of 0.2T at its centre. The coil is unwound and is rewound into a circular coil of four turns. The magnetic induction at the centre of the coil now is, in tesla (if same current flows in the coil)a)0.2b)0.4c)0.6d)0.8Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The electric current in a circular coil of two turns produced a magnetic induction of 0.2T at its centre. The coil is unwound and is rewound into a circular coil of four turns. The magnetic induction at the centre of the coil now is, in tesla (if same current flows in the coil)a)0.2b)0.4c)0.6d)0.8Correct answer is option 'D'. Can you explain this answer?.
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