A superconducting solenoid is to be designed to generate a magnetic field of 3.50 T.If the solenoid winding has 984 turns/m,what is the required current? (µ₀ = 4π × 10−⁷ T⋅m/A) A)1.4E+3 A B)9.0E+2 A C)2.8E+3 A D)4.5E+2 A E)2.3E+2 A

Question

Quizplus · Accepted Answer

We can use the formula for the magnetic field generated by a solenoid:
B = μ0nI
where B is the magnetic field, μ0 is the magnetic constant (also known as the permeability of free space), n is the number of turns per unit length (in this case, 984 turns/m), and I is the current.
Rearranging the formula, we get:
I = B/(μ0n)
Plugging in the given values, we get:
I = (3.50 T)/(4π × 10−7 T⋅m/A × 984 turns/m) ≈ 2830 A
Therefore, the required current is 2.8E+3 A, which corresponds to choice C.

A Superconducting Solenoid Is to Be Designed to Generate a Magnetic