A long solenoid that has 1,155 turns uniformly distributed over a length of 0.402 m produces a magnetic field of magnitude 1.00 x 10^-4 T at its center. What current is required in the windings for that to occur?
The magnetic field at the center of a solenoid of length ℓ with N turns carrying current I is given by B = μ₀ * (N/ℓ) * I. Solving for the current and substituting the given values, we have:
1.00 x 10^-4 T = (4π * 10^-7 T*m/A) * (1155 / 0.402 m) * I