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A long wire carrying a certain current produces a magnetic field of 0.8 Tesla at a distance 0.5 cm. Then magnetic field at a distance of 1 cm is:
- a)0.16 Tesla
- b)0.2 Tesla
- c)0.8 Tesla
- d)0.4 Tesla
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A long wire carrying a certain current produces a magnetic field of 0....
Ampere's Circuital Law:
- It gives the relationship between the current and the magnetic field created by it.
- This law says that the integral of magnetic field density (B) along an imaginary closed path is equal to the product of current enclosed by the path and permeability of the medium.
Where B = magnetic field, μ0 = permeability of free space and I = current passing through the coil
Given:
B1 = 0.8 T, d1 = 0.5 cm
The intensity of the magnetic field due to wire of infinite length at a distance d from it is given by
Where μ0 = permeability of free space, I = current in a wire, d = distance
As current is constant in the wire, then the magnetic field varies with the distance 'd' as
B∝1 / d
⇒ B1d1 = B2d2
= 0.4 T
Most Upvoted Answer
A long wire carrying a certain current produces a magnetic field of 0....
Understanding Magnetic Field Around a Long Wire
When a current flows through a long straight wire, it generates a magnetic field around it. The strength of this magnetic field decreases with the increase in distance from the wire. The relationship can be described using Ampere's law, which states that the magnetic field (B) around a long straight wire is inversely proportional to the distance (r) from the wire. The formula is:
B ∝ 1/r
Given Data
- Magnetic field at 0.5 cm (0.005 m): 0.8 Tesla
- Distance for new magnetic field: 1 cm (0.01 m)
Calculating the Magnetic Field at 1 cm
1. Inversely Proportional Relationship
Since B ∝ 1/r, we can express the relationship as:
B1 * r1 = B2 * r2
where B1 and B2 are the magnetic fields at distances r1 and r2 respectively.
2. Substituting Known Values
Let:
- B1 = 0.8 Tesla (at r1 = 0.5 cm = 0.005 m)
- r1 = 0.005 m
- r2 = 0.01 m (1 cm)
We need to find B2.
Rearranging the equation gives us:
B2 = B1 * (r1/r2)
3. Calculating B2
Substitute the values:
B2 = 0.8 * (0.005 / 0.01)
B2 = 0.8 * 0.5
B2 = 0.4 Tesla
Conclusion
Therefore, the magnetic field at a distance of 1 cm from the wire is 0.4 Tesla, confirming that option 'D' is correct. This demonstrates the principle of how magnetic fields diminish with distance from the source.
When a current flows through a long straight wire, it generates a magnetic field around it. The strength of this magnetic field decreases with the increase in distance from the wire. The relationship can be described using Ampere's law, which states that the magnetic field (B) around a long straight wire is inversely proportional to the distance (r) from the wire. The formula is:
B ∝ 1/r
Given Data
- Magnetic field at 0.5 cm (0.005 m): 0.8 Tesla
- Distance for new magnetic field: 1 cm (0.01 m)
Calculating the Magnetic Field at 1 cm
1. Inversely Proportional Relationship
Since B ∝ 1/r, we can express the relationship as:
B1 * r1 = B2 * r2
where B1 and B2 are the magnetic fields at distances r1 and r2 respectively.
2. Substituting Known Values
Let:
- B1 = 0.8 Tesla (at r1 = 0.5 cm = 0.005 m)
- r1 = 0.005 m
- r2 = 0.01 m (1 cm)
We need to find B2.
Rearranging the equation gives us:
B2 = B1 * (r1/r2)
3. Calculating B2
Substitute the values:
B2 = 0.8 * (0.005 / 0.01)
B2 = 0.8 * 0.5
B2 = 0.4 Tesla
Conclusion
Therefore, the magnetic field at a distance of 1 cm from the wire is 0.4 Tesla, confirming that option 'D' is correct. This demonstrates the principle of how magnetic fields diminish with distance from the source.
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A long wire carrying a certain current produces a magnetic field of 0.8 Tesla at a distance 0.5 cm. Then magnetic field at a distance of 1 cm is:a)0.16 Teslab)0.2 Teslac)0.8 Teslad)0.4 TeslaCorrect answer is option 'D'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A long wire carrying a certain current produces a magnetic field of 0.8 Tesla at a distance 0.5 cm. Then magnetic field at a distance of 1 cm is:a)0.16 Teslab)0.2 Teslac)0.8 Teslad)0.4 TeslaCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A long wire carrying a certain current produces a magnetic field of 0.8 Tesla at a distance 0.5 cm. Then magnetic field at a distance of 1 cm is:a)0.16 Teslab)0.2 Teslac)0.8 Teslad)0.4 TeslaCorrect answer is option 'D'. Can you explain this answer?.
A long wire carrying a certain current produces a magnetic field of 0.8 Tesla at a distance 0.5 cm. Then magnetic field at a distance of 1 cm is:a)0.16 Teslab)0.2 Teslac)0.8 Teslad)0.4 TeslaCorrect answer is option 'D'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A long wire carrying a certain current produces a magnetic field of 0.8 Tesla at a distance 0.5 cm. Then magnetic field at a distance of 1 cm is:a)0.16 Teslab)0.2 Teslac)0.8 Teslad)0.4 TeslaCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A long wire carrying a certain current produces a magnetic field of 0.8 Tesla at a distance 0.5 cm. Then magnetic field at a distance of 1 cm is:a)0.16 Teslab)0.2 Teslac)0.8 Teslad)0.4 TeslaCorrect answer is option 'D'. Can you explain this answer?.
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