Magnetic Force on Various Sides of Spinning Loop?

AI Thread Summary
The discussion focuses on calculating the magnetic force on each side of a vertical rectangular loop in a uniform magnetic field. The loop has 1000 turns of wire carrying a current of 0.22 A, and the magnetic field strength is 0.4 T at a 65° angle. The formula used for the force is Fb = ILB sin θ, where θ varies for different sides of the loop. A key point raised is that the current value must account for all turns, which means multiplying the current by 1000 for accurate calculations. The user is seeking assistance to correctly determine the forces on the top and left sides of the loop, as their initial calculations were incorrect.
longcatislong
Messages
12
Reaction score
0
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!
 
Physics news on Phys.org


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.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top