[30 POINTS] The upper portion of the circuit in the figure shown is fixed. The horizontal wire at the bottom has a mass of
10.0g
and is
5.00cm
long. This wire hangs in the gravitational field of the Earth from identical light springs connected to the upper portion of the circuit. The springs stretch
0.500cm
under the weight of the wire, and the circuit has a total resistance of
12.0\Omega
. When a magnetic field is turned on, directed out of the page, the springs stretch an additional
0.300cm
. Only the horizontal wire at the bottom of the circuit is in the magnetic field. What is the magnitude of the magnetic field?