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Magnetic force/field problem

by Turbo Math
Tags: force or field, magnetic
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Turbo Math
Dec4-07, 12:04 PM
P: 6
1. The problem statement, all variables and given/known data

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

2. Relevant equations

F = BIl sin θ

3. The attempt at a solution

at first i dont 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
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Dec4-07, 01:36 PM
HW Helper
P: 6,208
I think horizontally upwards means perpendicular to the wire(direction of the current)
Turbo Math
Dec5-07, 11:22 PM
P: 6
You mean..

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

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