# Problem: A 42-cm-long solenoid, 1.8 cm in diameter, is to produce a 0.030-T magnetic field at its centerIf the maximum current is 4.8 A, how many turns must the solenoid have?

###### FREE Expert Solution

Magnetic field due to solenoids:

$\overline{){\mathbf{B}}{\mathbf{=}}\frac{{\mathbf{\mu }}_{\mathbf{0}}\mathbf{N}\mathbf{i}}{\mathbf{L}}}$

B is the magnetic field, µ0 is the permittivity of free space, N is the number of turns, i is the current, and L is the length.

###### Problem Details

A 42-cm-long solenoid, 1.8 cm in diameter, is to produce a 0.030-T magnetic field at its center

If the maximum current is 4.8 A, how many turns must the solenoid have?