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Determine the current (in A) through a 60 cm long solenoid when the solenoid has 400 turns and the value of magnetic field at the centre of the solenoid is 6 mT.
- a)4.4
- b)5.6
- c)7.2
- d)8.4
Correct answer is option 'C'. Can you explain this answer?
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Given data:
Length of the solenoid, l = 60 cm = 0.6 m
Number of turns, N = 400
Magnetic field at the centre of the solenoid, B = 6 mT = 6 × 10⁻³ T
We know that the magnetic field inside a solenoid is given by:
B = μ₀IN/l
where μ₀ is the permeability of free space, I is the current passing through the solenoid, and l is the length of the solenoid.
Rearranging the above equation, we get:
I = Bl/μ₀N
Substituting the given values, we get:
I = (6 × 10⁻³ T × 0.6 m)/(4π × 10⁻⁷ T·m/A × 400)
Solving the above equation, we get:
I ≈ 7.2 A
Therefore, the current passing through the solenoid is 7.2 A. Hence, the correct answer is option (C).
Length of the solenoid, l = 60 cm = 0.6 m
Number of turns, N = 400
Magnetic field at the centre of the solenoid, B = 6 mT = 6 × 10⁻³ T
We know that the magnetic field inside a solenoid is given by:
B = μ₀IN/l
where μ₀ is the permeability of free space, I is the current passing through the solenoid, and l is the length of the solenoid.
Rearranging the above equation, we get:
I = Bl/μ₀N
Substituting the given values, we get:
I = (6 × 10⁻³ T × 0.6 m)/(4π × 10⁻⁷ T·m/A × 400)
Solving the above equation, we get:
I ≈ 7.2 A
Therefore, the current passing through the solenoid is 7.2 A. Hence, the correct answer is option (C).
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Determine the current (in A) through a 60 cm long solenoid when the solenoid has 400 turns and the value of magnetic field at the centre of the solenoid is 6 mT.a)4.4b)5.6c)7.2d)8.4Correct answer is option 'C'. Can you explain this answer?
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