- #1
iknowone
- 2
- 0
I cannot figure out how to solve this problem:
The calculation of the magnetic moment of a current loop leads to the line integral (around a closed loop)
INT r x dr
a) Integrate around the perimeter of a current loop (in the xy plane) and show that the scalar magnitude of this line integral is twice the area of the enclosed surface.
b) The perimeter of an ellipse is described by r = x_hat*(a*cos(t)) + y_hat*(b*sin(t)), Using part (a) show that the area of the ellipse is pi*a*b.
notation (x_hat, y_hat are unit vectors in the x and y directions respectively)
Thank you for your help.
The calculation of the magnetic moment of a current loop leads to the line integral (around a closed loop)
INT r x dr
a) Integrate around the perimeter of a current loop (in the xy plane) and show that the scalar magnitude of this line integral is twice the area of the enclosed surface.
b) The perimeter of an ellipse is described by r = x_hat*(a*cos(t)) + y_hat*(b*sin(t)), Using part (a) show that the area of the ellipse is pi*a*b.
notation (x_hat, y_hat are unit vectors in the x and y directions respectively)
Thank you for your help.