Determine Current in a Solenoid

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To determine the current needed to produce a 0.170 T magnetic field in a solenoid with 4200 turns, a length of 1.10 m, and a diameter of 1.50 cm, the equation B=μ0nI/2r was rearranged to solve for current. The radius was calculated as 7.5 x 10^-3 m, and the number of turns per unit length (n) was identified as 4200. An initial calculation yielded a current of 0.483 A, which was later found to be incorrect. The length of the solenoid was noted as potentially relevant, leading to confusion in the calculations. Ultimately, the correct approach was clarified using magnetic flux principles.
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Homework Statement


As a new electrical technician, you are designing a large solenoid to produce a uniform 0.170 T magnetic field near the center of the solenoid. You have enough wire for 4200 circular turns. This solenoid must have a length of 1.10 m and a diameter of 1.50 cm. What current will you need to produce the necessary field?


Homework Equations


B=μ0nI/2r at the center of a solenoid


The Attempt at a Solution


I have rearranged the equation to get I=B2r/μ0n. I found the radius to be 7.5*10^-3 m (1/2 diameter) and n=4200 (# of turns). Plugging in the numbers I got a result of 0.483 A which is apparently incorrect. I am confused as to why the length of the solenoid was included in the problem description and am unclear as to where I may have gone wrong (having double checked the math). Does anyone have any suggestions?
 
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Nevermind, figured it out using flux.
 
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