Step 1:
The formula for the magnetic field at the center of a solenoid is given by:
\[ B = \mu_0 \cdot \frac{N \cdot I}{L} \]
where:
- \( B \) is the magnetic field,
- \( \mu_0 \) is the permeability of free space, which is \( 4\pi \times 10^{-7} \, \text{T m/A}
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