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A battery is connected between two points A and B on the circumference of a uniform conducting ring of radius r and resistance R. One of the arcs AB of the ring subtends an angle q at the centre.The value of the magnetic induction at the centre due to the current in the ring is
- a)proportional to 2 (180° – θ)
- b)inversely proportional to r
- c)zero, only if θ = 180°
- d)zero for all values of θ
Correct answer is option 'D'. Can you explain this answer?
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A battery is connected between two points A and B on the circumference...
Magnetic field at the centre due to current in arc ABC is
Magnetic field at the centre due to current in arc ADB is
Therefore net magnetic field at the centre
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A battery is connected between two points A and B on the circumference...
The value of the magnetic induction at the center due to the current in the ring can be found using Ampere's Law. Ampere's Law states that the line integral of the magnetic field around a closed loop is equal to the product of the current enclosed by the loop and the permeability of free space.
In this case, the closed loop is the circle formed by the ring, and the current enclosed by the loop is the current passing through the ring.
The current passing through the ring can be found using Ohm's Law: I = V/R, where V is the voltage of the battery and R is the resistance of the ring.
The magnetic field at the center of the ring can then be found using Ampere's Law: B = (μ₀I)/r, where μ₀ is the permeability of free space, I is the current passing through the ring, and r is the radius of the ring.
Since the current passing through the ring is the same for all points on the circumference, the magnetic field at the center of the ring is also the same for all points on the circumference.
Therefore, the value of the magnetic induction at the center due to the current in the ring is proportional to 2πq/360, where q is the angle subtended by the arc AB at the center.
In this case, the closed loop is the circle formed by the ring, and the current enclosed by the loop is the current passing through the ring.
The current passing through the ring can be found using Ohm's Law: I = V/R, where V is the voltage of the battery and R is the resistance of the ring.
The magnetic field at the center of the ring can then be found using Ampere's Law: B = (μ₀I)/r, where μ₀ is the permeability of free space, I is the current passing through the ring, and r is the radius of the ring.
Since the current passing through the ring is the same for all points on the circumference, the magnetic field at the center of the ring is also the same for all points on the circumference.
Therefore, the value of the magnetic induction at the center due to the current in the ring is proportional to 2πq/360, where q is the angle subtended by the arc AB at the center.
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A battery is connected between two points A and B on the circumference of a uniform conducting ring of radius r and resistance R. One of the arcs AB of the ring subtends an angle q at the centre.The value of the magnetic induction at the centre due to the current in the ring isa)proportional to 2 (180° – θ)b)inversely proportional to rc)zero, only if θ = 180°d)zero for all values of θCorrect answer is option 'D'. Can you explain this answer?
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A battery is connected between two points A and B on the circumference of a uniform conducting ring of radius r and resistance R. One of the arcs AB of the ring subtends an angle q at the centre.The value of the magnetic induction at the centre due to the current in the ring isa)proportional to 2 (180° – θ)b)inversely proportional to rc)zero, only if θ = 180°d)zero for all values of θCorrect 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 A battery is connected between two points A and B on the circumference of a uniform conducting ring of radius r and resistance R. One of the arcs AB of the ring subtends an angle q at the centre.The value of the magnetic induction at the centre due to the current in the ring isa)proportional to 2 (180° – θ)b)inversely proportional to rc)zero, only if θ = 180°d)zero for all values of θCorrect 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 A battery is connected between two points A and B on the circumference of a uniform conducting ring of radius r and resistance R. One of the arcs AB of the ring subtends an angle q at the centre.The value of the magnetic induction at the centre due to the current in the ring isa)proportional to 2 (180° – θ)b)inversely proportional to rc)zero, only if θ = 180°d)zero for all values of θCorrect answer is option 'D'. Can you explain this answer?.
A battery is connected between two points A and B on the circumference of a uniform conducting ring of radius r and resistance R. One of the arcs AB of the ring subtends an angle q at the centre.The value of the magnetic induction at the centre due to the current in the ring isa)proportional to 2 (180° – θ)b)inversely proportional to rc)zero, only if θ = 180°d)zero for all values of θCorrect 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 A battery is connected between two points A and B on the circumference of a uniform conducting ring of radius r and resistance R. One of the arcs AB of the ring subtends an angle q at the centre.The value of the magnetic induction at the centre due to the current in the ring isa)proportional to 2 (180° – θ)b)inversely proportional to rc)zero, only if θ = 180°d)zero for all values of θCorrect 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 A battery is connected between two points A and B on the circumference of a uniform conducting ring of radius r and resistance R. One of the arcs AB of the ring subtends an angle q at the centre.The value of the magnetic induction at the centre due to the current in the ring isa)proportional to 2 (180° – θ)b)inversely proportional to rc)zero, only if θ = 180°d)zero for all values of θCorrect answer is option 'D'. Can you explain this answer?.
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A battery is connected between two points A and B on the circumference of a uniform conducting ring of radius r and resistance R. One of the arcs AB of the ring subtends an angle q at the centre.The value of the magnetic induction at the centre due to the current in the ring isa)proportional to 2 (180° – θ)b)inversely proportional to rc)zero, only if θ = 180°d)zero for all values of θCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for A battery is connected between two points A and B on the circumference of a uniform conducting ring of radius r and resistance R. One of the arcs AB of the ring subtends an angle q at the centre.The value of the magnetic induction at the centre due to the current in the ring isa)proportional to 2 (180° – θ)b)inversely proportional to rc)zero, only if θ = 180°d)zero for all values of θCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of A battery is connected between two points A and B on the circumference of a uniform conducting ring of radius r and resistance R. One of the arcs AB of the ring subtends an angle q at the centre.The value of the magnetic induction at the centre due to the current in the ring isa)proportional to 2 (180° – θ)b)inversely proportional to rc)zero, only if θ = 180°d)zero for all values of θCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
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