Finding the Minimum Current for Magnetic Force to Equal Wire Weight

[Turbo Math]

Homework Statement

A wire extends horizontally from east to west. The mass of its meter is (0.18)g and it carries a current of (1)A. If the wire is in a magnetic filed (0.5)T that heads horizontally upwards, determine the least current that makes the magnetic force equal the wire weight

Homework Equations

F = BIl sin θ

The Attempt at a Solution

at first i don't understand what does "heads horizontally upwards" means so this is where i end up:

mg = BIl sin θ
(0.18E-3) x 10 = 0.5x1x1 sin θ
θ = sin^-1(1.8E-3/0.5)
θ = 0.2

 

[rock.freak667]

I think horizontally upwards means perpendicular to the wire(direction of the current)

 

[Turbo Math]

You mean..

BIl = mg
0.5 I = 1.8E-3
I = 0.0036 A ?