question archive 1)Three 1

1)Three 1

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1)Three 1.0 m long, straight, identical wires are inserted one at a time into a magnetic field having a strength of 6.00T and directed due east. Wire A carries a current of 2.0 A in the direction of 45 south of east. Wire B carries a current of 8 A, due north. Wire C carries a current of 10 A, due west.  Find the magnitude of the magnetic forces on each wire.

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There are three different wires of the same length but having the different orientations. The magnitude of the magnetic forces on each wire is calculated as shown below:

 

Wire A

 

The angle between the magnetic field and the elemental length is 45 degrees.

 

?FA?=ilBsinθFA?=2×1×6×sin450FA?=8.84N??

 

Wire B

 

The angle between the magnetic field and the elemental length is 90 degrees.

 

?FB?=ilBsinθFB?=8×1×6×sin900FB?=48N??

Wire C

 

The angle between the magnetic field and the elemental length is 0 degrees.

 

?FC?=ilBsinθFC?=10×1×6×sin00FC?=0??