Final answer:
To create a magnetic field strength of 0.369 Gauss in the center of the coils, you would need a current of approximately 3.023 Amps.
Step-by-step explanation:
To calculate the current needed to create a magnetic field strength of 0.369 Gauss in the center of the coils, we can use Ampere's law. Ampere's law states that the magnetic field strength created by a coil is directly proportional to the current passing through the coil and the number of turns in the coil. The formula to calculate the magnetic field strength (B) is given by:
B = μ0 * (N * I) / R_coil
Where B is the magnetic field strength, μ0 is the permeability of free space, N is the number of turns in the coil, I is the current passing through the coil, and R_coil is the radius of the coil.
Given that the magnetic field strength is 0.369 Gauss, we can convert it to Tesla by dividing by 10,000 (1 Gauss = 10^-4 Tesla). So, B = 0.369 * 10^-4 T.
Plugging in the values into the formula, we have:
0.369 * 10^-4 = (4π * 10^-7) * (N * I) / 0.145
Simplifying the equation, we find:
I = (0.369 * 10^-4 * 0.145) / (4π * 10^-7 * N)
Using the given information in the lab manual, we can substitute N = 400 turns into the equation to get the final answer:
I = (0.369 * 10^-4 * 0.145) / (4π * 10^-7 * 400)
I = 0.369 * 10^-4 * 0.145 / (4π * 10^-7 * 400)
I ≈ 3.023 A