A horizontal, straight wire carrying 12.0 A current from west to east is in the earth’s magnetic field B. At this place, B is parallel to the surface of the earth, points to the north and its magnitude is 0.04 mT. Determine the magnetic force on 1 m length of the wire. If mass of this length of wire is 50 g, calculate the value of current in the wire so that its weight is balanced by the magnetic force.
The magnetic force on a current-carrying wire in a magnetic field is determined by the equation:
\[
F = I L B \sin \theta
\]
Where:
- \( F \) is the magnetic force,
- \( I \) is the current in the wire,
- \( L \) is the length of the wire in the magnetic field,
- \( B \) is the magnetic field strength,
- \( \theta \) is the angle between the direction of current and the magnetic field.
Given:
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