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A 90 cm long solenoid has six layers of windings of 450 turns each. If the diameter of solenoid is 2.2 cm and current carried is 6A, then the magnitude of magnetic field inside the solenoid, near its centre is
- a)50π G
- b)60π G
- c)72π G
- d)80π G
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
A 90 cm long solenoid has six layers of windings of 450 turns each. If...
For six layers of windings the total number of turns = 6 x 450 = 2700
Now number of turns per unit length
Then the field in side the solenoid near the centre
B = μ0nI = 4π x 10-7 x 3000 x 6 = 72π x 10-4 T = 72πG
Now number of turns per unit length
Then the field in side the solenoid near the centre
B = μ0nI = 4π x 10-7 x 3000 x 6 = 72π x 10-4 T = 72πG
Most Upvoted Answer
A 90 cm long solenoid has six layers of windings of 450 turns each. If...
The magnetic field inside a solenoid can be calculated using the formula:
B = μ₀ * n * I
where B is the magnetic field, μ₀ is the permeability of free space (4π × 10⁻⁷ T m/A), n is the number of turns per unit length, and I is the current.
To find n, we need to calculate the number of turns per unit length. The length of the solenoid is given as 90 cm, and it has six layers of windings with 450 turns each. Therefore, the total number of turns is:
Total number of turns = number of turns per layer * number of layers
= 450 turns/layer * 6 layers
= 2700 turns
The length per turn can be calculated by dividing the total length of the solenoid by the total number of turns:
Length per turn = 90 cm / 2700 turns
= 0.033 cm/turn
To find n, we need to convert the length per turn to meters:
Length per turn = 0.033 cm/turn * (1 m/100 cm)
= 0.00033 m/turn
Now we can calculate n:
n = 1 / length per turn
= 1 / 0.00033 m/turn
= 3030.3 turns/m
Plugging in the values for μ₀ (4π × 10⁻⁷ T m/A), n (3030.3 turns/m), and I (6 A) into the formula for magnetic field, we get:
B = μ₀ * n * I
= (4π × 10⁻⁷ T m/A) * (3030.3 turns/m) * (6 A)
≈ 0.072 T
Therefore, the magnitude of the magnetic field inside the solenoid, near its center, is approximately 0.072 T.
B = μ₀ * n * I
where B is the magnetic field, μ₀ is the permeability of free space (4π × 10⁻⁷ T m/A), n is the number of turns per unit length, and I is the current.
To find n, we need to calculate the number of turns per unit length. The length of the solenoid is given as 90 cm, and it has six layers of windings with 450 turns each. Therefore, the total number of turns is:
Total number of turns = number of turns per layer * number of layers
= 450 turns/layer * 6 layers
= 2700 turns
The length per turn can be calculated by dividing the total length of the solenoid by the total number of turns:
Length per turn = 90 cm / 2700 turns
= 0.033 cm/turn
To find n, we need to convert the length per turn to meters:
Length per turn = 0.033 cm/turn * (1 m/100 cm)
= 0.00033 m/turn
Now we can calculate n:
n = 1 / length per turn
= 1 / 0.00033 m/turn
= 3030.3 turns/m
Plugging in the values for μ₀ (4π × 10⁻⁷ T m/A), n (3030.3 turns/m), and I (6 A) into the formula for magnetic field, we get:
B = μ₀ * n * I
= (4π × 10⁻⁷ T m/A) * (3030.3 turns/m) * (6 A)
≈ 0.072 T
Therefore, the magnitude of the magnetic field inside the solenoid, near its center, is approximately 0.072 T.
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A 90 cm long solenoid has six layers of windings of 450 turns each. If the diameter of solenoid is 2.2 cm and current carried is 6A, then the magnitude of magnetic field inside the solenoid, near its centre isa)50π Gb)60π Gc)72π Gd)80π GCorrect answer is option 'C'. Can you explain this answer?
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A 90 cm long solenoid has six layers of windings of 450 turns each. If the diameter of solenoid is 2.2 cm and current carried is 6A, then the magnitude of magnetic field inside the solenoid, near its centre isa)50π Gb)60π Gc)72π Gd)80π GCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A 90 cm long solenoid has six layers of windings of 450 turns each. If the diameter of solenoid is 2.2 cm and current carried is 6A, then the magnitude of magnetic field inside the solenoid, near its centre isa)50π Gb)60π Gc)72π Gd)80π GCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 90 cm long solenoid has six layers of windings of 450 turns each. If the diameter of solenoid is 2.2 cm and current carried is 6A, then the magnitude of magnetic field inside the solenoid, near its centre isa)50π Gb)60π Gc)72π Gd)80π GCorrect answer is option 'C'. Can you explain this answer?.
A 90 cm long solenoid has six layers of windings of 450 turns each. If the diameter of solenoid is 2.2 cm and current carried is 6A, then the magnitude of magnetic field inside the solenoid, near its centre isa)50π Gb)60π Gc)72π Gd)80π GCorrect answer is option 'C'. Can you explain this answer? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A 90 cm long solenoid has six layers of windings of 450 turns each. If the diameter of solenoid is 2.2 cm and current carried is 6A, then the magnitude of magnetic field inside the solenoid, near its centre isa)50π Gb)60π Gc)72π Gd)80π GCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 90 cm long solenoid has six layers of windings of 450 turns each. If the diameter of solenoid is 2.2 cm and current carried is 6A, then the magnitude of magnetic field inside the solenoid, near its centre isa)50π Gb)60π Gc)72π Gd)80π GCorrect answer is option 'C'. Can you explain this answer?.
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A 90 cm long solenoid has six layers of windings of 450 turns each. If the diameter of solenoid is 2.2 cm and current carried is 6A, then the magnitude of magnetic field inside the solenoid, near its centre isa)50π Gb)60π Gc)72π Gd)80π GCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A 90 cm long solenoid has six layers of windings of 450 turns each. If the diameter of solenoid is 2.2 cm and current carried is 6A, then the magnitude of magnetic field inside the solenoid, near its centre isa)50π Gb)60π Gc)72π Gd)80π GCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A 90 cm long solenoid has six layers of windings of 450 turns each. If the diameter of solenoid is 2.2 cm and current carried is 6A, then the magnitude of magnetic field inside the solenoid, near its centre isa)50π Gb)60π Gc)72π Gd)80π GCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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