Magnetic Force on Current-Carrying Wire Video Lessons

Concept

# Problem: (a) What does the slope of a trendline represent on a current vs. magnetic force (b) and how can I use the slope value to determine the strength of the magnetic field between permanent magnets? (c) Is using the slope superior to using a single data point? Please give as detailed an explanation as possible because I am very confused. Thanks so much!

###### FREE Expert Solution

Equation of a straight line:

m is the slope of the trendline.

Magnetic force on a current-carrying conductor:

$\overline{){{\mathbf{F}}}_{{\mathbf{B}}}{\mathbf{=}}{\mathbf{B}}{\mathbf{i}}{\mathbf{Lsin\theta }}}$

The magnetic force is placed on the y-axis while the current is placed on the x-axis.

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###### Problem Details

(a) What does the slope of a trendline represent on a current vs. magnetic force

(b) and how can I use the slope value to determine the strength of the magnetic field between permanent magnets?

(c) Is using the slope superior to using a single data point?

Please give as detailed an explanation as possible because I am very confused. Thanks so much!