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Answer:


The magnetic force,
                FB = IdlxB

The wire jumps towards the observer, means the force on thewire is out of the plane of the paper or along the Zaxis(horizontally) taking current along the X axis and B along the Y axis.

The vector cross product dLxB is along +ve z-axis only if the B field is vertically upward,along the Y axis. For this the upper pole must be a South pole.

(a)  Given Data L = 10 cm = 0.1 m is the length of the wire in the B field.

The max force, Fm = BIL

          I = Fm/B.L

            = 7.5x10-2 / 0.22x0.10

           I = 3.41 A

(b) The wire is tipped at 10o with thehorizontal means,

the angle betwen the wire (dL) and B field is 90 -10 = 80o

The, Force, F = BIL sin 80

                      = Fm.sin 80

                      = 7.5x10-2 x0.9848

                      = 7.386 x10-2 N

One can also take the effective length of the wire inthefield,

                 L' = L cos 10o

Then,          F= BIL cos 10o

                      = Fm.cos 10o

                      = 7.5x10-2x0.9848

                      = 7.386x10-2 N  

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