Dustin N. answered 07/22/20
Experienced Math & Science Tutor | 4.0 GPA Engineering Masters Student
The magnetic field at the center of a solenoid is given by: B = µ0NI.
The constant µ0 is equal to 4π*10-7 N•m2•kg-2.
The given number of turns is 25 cm-1, which can be converted to 25*102 m-1.
The given current 'I' is 25 mA, which is 25*10-3 A.
Therefore..
B = µ0NI
B = (4π*10-7 N•m2•kg-2)(25*102 m-1)(25*10-3 A) = 9.1*10-5 T
The unit of the final answer is in teslas, which can be broken down to kg•s-2•A-1.