The hint is to use the Biot-Savart law... (Hint: it often simplifies the integration to make your variable of integration theta...)1. Homework Statement
I am trying to find the magnetic field at the point in the middle of the picture can someone give a hint on how to approach the problem?
2. Homework Equations
3. The Attempt at a Solution
I believe so (though I might be wrong). In all cases you should prove it via arithmetic so don't use this shortcut if you are not sure.would the left and the right side cancel out....
So I have to do it just for the bottom side???
No. Biot-Savart:so thus this integral work :
B= ([tex]\mu[/tex]*I)/(4*pi*x)[tex]\int[/tex] between(-pi/4) and (pi/4) of cos ([tex]\theta) d\theta[/tex]
from this, i guess theta and theta' as shown in fig below:1/r^2 = cos^2(theta')/ x^2
The limits come from the geometry of the diagram. You really should be able to figure that part out.yes the picture with the angle is exactly what I was thinking....what are the limits for the integral angles???
Based on your initial drawing, yes.i did to -45 to 45....will that work?