Two long wires lie in an xy plane, and each carries a current inthe positive x a

Question

Two long wires lie in an xy plane, and each carries a current inthe positive x axis. Wire 1 is at y = 10.0 cm and carries 6.0A; wire 2 is at y = 5.00 cm and carries 10.0 A.
(a) In unit vector notation, what is the net magnetic field Bat the origin?
(b) At what value of y does B = 0
(c) If the current in wire 1 is reversed, at what value of ydoes B = 0?
(a) In unit vector notation, what is the net magnetic field Bat the origin?
(b) At what value of y does B = 0
(c) If the current in wire 1 is reversed, at what value of ydoes B = 0?

Explanation / Answer

the field due to both the wires is vertically downwards at theorigin hence total iso/2[6/0.1+10/0.05]=5.2*10-5T(-k) b)this can happen only in between the wires let at a distanceof r from the 6A wire we have 6/r=10/5-r r=1.875cms   y=8.125cms c)this can not happen in between the wires and should be nearer to6A wire so we have 6/r=10/5+r r=7.5cms   y-=17.5cms

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