Infinite plates, with current running through

[jehan60188]

Homework Statement

Two infinite sheets of current flow parallel to the y-z plane. The left-hand sheet, which intersects the x-axis at x = 0, consists of an infinite array of wires parallel to the z-axis with a density n = 960 wires/m and a current per wire of IL = 0.15 A in the +z direction. The right-hand sheet, which intersects the x-axis at x = a = 12 cm, is identical to the left-hand sheet, except that it has a current per wire of IR = 0.15 A in the -z direction.

(a) Calculate the y-components of the net magnetic field in the following places: x1 = -15 cm,

Homework Equations

B for a wire = u*I/(2*PI*R)

The Attempt at a Solution

R = sqrt(h+.15)

so the y component of B for any wire is

sin(theta)*u*I/(2*PI*R)

where theta = arctan(h/.15)

so, two times the integral from zero to infiniti of B wrt h should give me the right answer
it does not >_<

 

[anathema]

Thank you for your question. The approach you have taken to calculate the y-component of the net magnetic field is correct. However, your integration limits may be incorrect. Since the left-hand sheet intersects the x-axis at x=0 and the right-hand sheet intersects the x-axis at x=a=12cm, the integration limits should be from 0 to a=12cm. Also, make sure that you are using the correct units for all variables (meters for length, amperes for current, etc.).

Another thing to note is that the integral you are trying to solve is not a simple one. It involves the use of trigonometric functions and special functions, so it may be helpful to use a computer program or a table of integrals to solve it accurately.

I hope this helps. Let me know if you have any further questions. Good luck with your calculations!



Scientist