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A direct current is passing through a wire. It is bent to form a coil of one turn. Now it is further bent to form a coil of two turns but at smaller radius. The ratio of the magnetic induction at the centre of this coil and at the centre of the coil of two turn is A : 1 : 4 B : 4 : 1 C : 2 : 1 D : 1 : 1
Most Upvoted Answer
A direct current is passing through a wire. It is bent to form a coil ...
Magnetic Induction Basics
Magnetic induction at the center of a coil is determined by the formula:
B = (μ₀ * I * N) / (2 * R)
where:
- B is the magnetic induction
- μ₀ is the permeability of free space
- I is the current
- N is the number of turns
- R is the radius of the coil
Single Turn Coil
- For a coil with one turn (N = 1) and radius R:
B₁ = (μ₀ * I) / (2 * R)
Two Turn Coil
- For a coil with two turns (N = 2) and smaller radius r (assuming r < />
B₂ = (μ₀ * I * 2) / (2 * r) = (μ₀ * I) / r
Ratio of Magnetic Induction
To find the ratio of magnetic induction at the center of both coils (B₁ and B₂):
- B₁ = (μ₀ * I) / (2 * R)
- B₂ = (μ₀ * I) / r
The ratio B₁ : B₂ can be expressed as:
B₁ : B₂ = [(μ₀ * I) / (2 * R)] : [(μ₀ * I) / r]
This simplifies to:
B₁ : B₂ = r / (2 * R)
Assuming the smaller radius (r) is half of the larger radius (R), we can denote:
- r = R/2
Then, the ratio becomes:
B₁ : B₂ = (R/2) / (2 * R) = 1/4
Final Ratio
Thus, the ratio of magnetic induction at the center of the one-turn coil to that of the two-turn coil is:
1 : 4
This means the correct answer is A : 1 : 4.
Magnetic induction at the center of a coil is determined by the formula:
B = (μ₀ * I * N) / (2 * R)
where:
- B is the magnetic induction
- μ₀ is the permeability of free space
- I is the current
- N is the number of turns
- R is the radius of the coil
Single Turn Coil
- For a coil with one turn (N = 1) and radius R:
B₁ = (μ₀ * I) / (2 * R)
Two Turn Coil
- For a coil with two turns (N = 2) and smaller radius r (assuming r < />
B₂ = (μ₀ * I * 2) / (2 * r) = (μ₀ * I) / r
Ratio of Magnetic Induction
To find the ratio of magnetic induction at the center of both coils (B₁ and B₂):
- B₁ = (μ₀ * I) / (2 * R)
- B₂ = (μ₀ * I) / r
The ratio B₁ : B₂ can be expressed as:
B₁ : B₂ = [(μ₀ * I) / (2 * R)] : [(μ₀ * I) / r]
This simplifies to:
B₁ : B₂ = r / (2 * R)
Assuming the smaller radius (r) is half of the larger radius (R), we can denote:
- r = R/2
Then, the ratio becomes:
B₁ : B₂ = (R/2) / (2 * R) = 1/4
Final Ratio
Thus, the ratio of magnetic induction at the center of the one-turn coil to that of the two-turn coil is:
1 : 4
This means the correct answer is A : 1 : 4.
Community Answer
A direct current is passing through a wire. It is bent to form a coil ...
The right answer is 4:1...!!!"
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A direct current is passing through a wire. It is bent to form a coil of one turn. Now it is further bent to form a coil of two turns but at smaller radius. The ratio of the magnetic induction at the centre of this coil and at the centre of the coil of two turn is A : 1 : 4 B : 4 : 1 C : 2 : 1 D : 1 : 1
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A direct current is passing through a wire. It is bent to form a coil of one turn. Now it is further bent to form a coil of two turns but at smaller radius. The ratio of the magnetic induction at the centre of this coil and at the centre of the coil of two turn is A : 1 : 4 B : 4 : 1 C : 2 : 1 D : 1 : 1 for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A direct current is passing through a wire. It is bent to form a coil of one turn. Now it is further bent to form a coil of two turns but at smaller radius. The ratio of the magnetic induction at the centre of this coil and at the centre of the coil of two turn is A : 1 : 4 B : 4 : 1 C : 2 : 1 D : 1 : 1 covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A direct current is passing through a wire. It is bent to form a coil of one turn. Now it is further bent to form a coil of two turns but at smaller radius. The ratio of the magnetic induction at the centre of this coil and at the centre of the coil of two turn is A : 1 : 4 B : 4 : 1 C : 2 : 1 D : 1 : 1 .
A direct current is passing through a wire. It is bent to form a coil of one turn. Now it is further bent to form a coil of two turns but at smaller radius. The ratio of the magnetic induction at the centre of this coil and at the centre of the coil of two turn is A : 1 : 4 B : 4 : 1 C : 2 : 1 D : 1 : 1 for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A direct current is passing through a wire. It is bent to form a coil of one turn. Now it is further bent to form a coil of two turns but at smaller radius. The ratio of the magnetic induction at the centre of this coil and at the centre of the coil of two turn is A : 1 : 4 B : 4 : 1 C : 2 : 1 D : 1 : 1 covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A direct current is passing through a wire. It is bent to form a coil of one turn. Now it is further bent to form a coil of two turns but at smaller radius. The ratio of the magnetic induction at the centre of this coil and at the centre of the coil of two turn is A : 1 : 4 B : 4 : 1 C : 2 : 1 D : 1 : 1 .
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A direct current is passing through a wire. It is bent to form a coil of one turn. Now it is further bent to form a coil of two turns but at smaller radius. The ratio of the magnetic induction at the centre of this coil and at the centre of the coil of two turn is A : 1 : 4 B : 4 : 1 C : 2 : 1 D : 1 : 1 , a detailed solution for A direct current is passing through a wire. It is bent to form a coil of one turn. Now it is further bent to form a coil of two turns but at smaller radius. The ratio of the magnetic induction at the centre of this coil and at the centre of the coil of two turn is A : 1 : 4 B : 4 : 1 C : 2 : 1 D : 1 : 1 has been provided alongside types of A direct current is passing through a wire. It is bent to form a coil of one turn. Now it is further bent to form a coil of two turns but at smaller radius. The ratio of the magnetic induction at the centre of this coil and at the centre of the coil of two turn is A : 1 : 4 B : 4 : 1 C : 2 : 1 D : 1 : 1 theory, EduRev gives you an
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