Find magnetic field strength and maximum force

AI Thread Summary
The discussion revolves around calculating magnetic field strength and maximum force using the formula Force = Current * Length * Field Strength * sin(theta). The user initially calculated the magnetic field strength as 44 mT but misinterpreted the units, leading to confusion. To find the maximum force, it is clarified that the wire must be perpendicular to the magnetic field, which occurs when sin(theta) equals 1. The maximum force is determined using the formula BIL, where B is the previously calculated magnetic field strength. The user expresses understanding after this clarification.
warnexus
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Homework Statement



magneticfield_zpse9666f81.jpg


Homework Equations



Force = Current * Length * Field Strength * sin(theta)

(Force/ Length)/(Current * sin theta) = Field Strength



The Attempt at a Solution



(.28 N/m)/ (14 A * sin 27 degree) = .044 T or 44mT
 
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The 'try again' image seems to indicate the answer you entered was 4, not 44.
 
haruspex said:
The 'try again' image seems to indicate the answer you entered was 4, not 44.

thanks. apparently I did not see the milli Tesla and when I rounded my answer it threw my answer off . how do I go about finding a maximum force? how do I know if the force I got is actually maximum?
 
Maximum force possible is when wire is perpendicular to magnetic field. sin90 = 1, biggest possible. sin (other angles) will result in a smaller answer.

So maximum force is BIL (B-magnetic field strength, I-current, L-length [full length as totally perpendicular]) B is your previous answer.
 
Last edited:
Thanks! I understand now!
 
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