Magnetic Force on Various Sides of Spinning Loop?

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SUMMARY

The discussion focuses on calculating the magnetic force on each side of a vertical rectangular loop in a uniform magnetic field of 0.4 T, oriented at 65° to the perpendicular. The loop consists of 1000 turns of wire, each carrying a current of 0.22 A. The formula used for calculating the magnetic force is Fb = ILB sin θ, where θ is the angle between the current and the magnetic field. The user initially miscalculated the force by not accounting for the total number of turns, which is crucial for accurate results.

PREREQUISITES
  • Understanding of magnetic fields and forces
  • Familiarity with the formula Fb = ILB sin θ
  • Knowledge of current and its effect in a magnetic field
  • Basic trigonometry to calculate angles
NEXT STEPS
  • Calculate the magnetic force on each side of the loop using the correct number of turns
  • Explore the effects of varying the angle θ on magnetic force calculations
  • Study the implications of multiple turns in electromagnetic applications
  • Learn about the right-hand rule for determining the direction of magnetic forces
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Students studying electromagnetism, physics educators, and anyone involved in solving problems related to magnetic forces in loops and coils.

longcatislong
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Magnetic Force on Various Sides of Spinning Loop??

Homework Statement



A horizontal uniform magnetic field of magnitude 0.4 T is oriented at an angle of = 65° relative to a line perpendicular to plane of a vertical, rectangular loop, as indicated in the figure. The loop has a height of 8 cm and a width of 15 cm. Each of the 1000 turns of wire in the loop carries a current of 0.22 A counterclockwise around it.

a link to the diagram: http://www.webassign.net/userimages/last-prob-diag-small.jpg?db=v4net&id=86188

(a) Find the size of the force (+ only) on each side of the loop:
top: ____N?
bottom: 2 N
left: ___N?
right:____N?


Homework Equations



Fb=ILBsintheta (where theta is the angle between I and B)


The Attempt at a Solution



I'm using Fb=ILBSsintheta, and found theta to be 25 degrees. For the force on the top side, I'm using the length of the top side, 15cm=.15m.

I=.22A
L=.15m
B=.4T
theta=25 degrees

So, I get Fb=(.22)(.25)(.4)(Sin25)=.005579

I've also tried using the length of the other side, but it's still wrong according to my online homework.

Anything will help! This assignment is due soon!
 
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longcatislong said:
I'm using Fb=ILBSsintheta, and found theta to be 25 degrees.
\vec{F_B} = \vec IL \times \vec B,
which can be represented by
F_B = ILB \sin \theta,
where \theta is the angle between \vec I and \vec B. Here I is the total current on a given side, whatever the configuration of wires carrying the total current happens to be.

So for some of sides of the loop, \theta is 25 degrees. But not all sides! (Take it one side at a time. I caution against using 25 deg all willy-nilly.)
For the force on the top side, I'm using the length of the top side, 15cm=.15m.

I=.22A
L=.15m
B=.4T
theta=25 degrees

So, I get Fb=(.22)(.25)(.4)(Sin25)=.005579
The I that you are using (0.22 A) is for a single turn of wire. But there are 1000 turns of wire in the loop. So you're missing a factor of 1000 in there somewhere.
 

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