Force per unit length on the wire in the bottom left hand corner.

AI Thread Summary
The discussion revolves around calculating the force per unit length on a wire located in the bottom left corner of a square configuration with four identical currents of 13 A. The side length of the square is 64 cm, and the force is to be determined in both x and y components. The relevant equation used for the calculation is F = (μ₀ * i₁ * i₂) / (2 * π * d). An initial attempt at the solution yielded a force value of 1.095E-4, but the user expressed uncertainty about the correctness of this answer. The thread emphasizes the need for accurate calculations and understanding of the forces involved in this current configuration.
missyc8
Messages
9
Reaction score
0
1. Homework Statement [/b]
Suppose in the figure that the four identical currents i = 13 A, into or out of the page as shown, form a square of side 64 cm. What is the force per unit length (magnitude and direction) on the wire in the bottom left hand corner? (N/m) Take the positive y direction as up and the positive x direction as to the right.
What is the magnitude of the force per unit length?

(diagram is in following post)

What is the x component of the force per unit length?

What is the y component of the force per unit length?


Homework Equations



F= muo*i1*i2/2*pi*d

The Attempt at a Solution


F= 1.26E-6 * 7A * 7A/ 2*pi* sqrt(2*.64m) = 1.095E-4

i do not know if i am doing this right at all...but this answer is wrong for the the first part..
 
Last edited:
Physics news on Phys.org
here is the pic...oops
 

Attachments

  • 30-42.jpg
    30-42.jpg
    6.7 KB · Views: 520
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