Current-Carrying Wire in Uniform Magnetic Field

relative permeabilities

insidecylinder

outsidecylinder

μ

r

1

μ

r

2

1

applied uniform magnetic field

H

0

(A/m)

1

wire (cylinder) conditions

wire diameter

d (mm)

10

total current in z direction

I (A)

0.1

Consider an infinitely long cylindrical wire that carries a current

I

in the perpendicular uniform magnetic field

H

0

. This Demonstration shows the resultant field in the spaces both inside and outside the cylinder. Assume that the current density is constant in the cross section of wire and that the relative permeabilities

μ

r1

,

μ

r2

inside and outside the cylinder are different. The directions of the applied field and wire current are the

x

and

z

axes, respectively. The field pattern is plotted in the

x

-

y

plane using color for strength and arrows for direction; the field intensity is normalized by

H

0

. You can vary the relative permeabilities, the applied magnetic field

H

0

, the wire diameter

d

, and the wire current

I

.