Find magnetic field strength and maximum force

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Homework Help Overview

The discussion revolves around calculating magnetic field strength and determining the maximum force experienced by a wire carrying current in a magnetic field. The context involves applying the formula for force in magnetic fields, with specific attention to angles and units.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the calculation of magnetic field strength using the force equation and question the accuracy of their results. There is an exploration of how to determine the maximum force and the conditions under which it occurs.

Discussion Status

Some participants have provided insights into the conditions for maximum force, specifically noting that it occurs when the wire is perpendicular to the magnetic field. There is acknowledgment of a misunderstanding regarding units and rounding in the calculations.

Contextual Notes

Participants are navigating issues related to unit conversion (milliTesla) and the implications of angle on force calculations. The discussion reflects a need for clarity on maximum force conditions and the relationship between current, length, and magnetic field strength.

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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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