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Answer :
Final answer:
The magnitude of the magnetic field near the center of the solenoid is approximately 0.670 T.
Explanation:
To determine the magnitude of the magnetic field near the center of a solenoid, you can use the formula:
B = μ₀ * N * I / L
Where:
- B is the magnetic field strength
- μ₀ is the permeability of free space (4π × 10-7 T m/A)
- N is the number of turns in the solenoid
- I is the current through the solenoid
- L is the length of the solenoid
Plugging in the given values:
- μ₀ = 4π × 10-7 T m/A
- N = 1,107 turns
- I = 67.2 A
- L = 0.394 m
Calculating:
- B = (4π × 10-7) * (1,107) * (67.2) / (0.394)
- B ≈ 0.670 T
Therefore, the magnitude of the magnetic field near the center of the solenoid is approximately 0.670 T.
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