Magnetic Field -- PLEASE SHOW ALL STEPS FOR MANY POINTS!!!! THANK YOU :) Two lon

Question

Magnetic Field -- PLEASE SHOW ALL STEPS FOR MANY POINTS!!!! THANK YOU :)

Two long straight wires each carry current I=2A perpendicular to the surface of the page, as shown, with each intersecting the x-axis. The wire at x=-3 cm carries current out of the page and the wire at x=+3 cm carries current into the page.

a.)   What is the magnitude and direction of the net magnetic field as measured at the origin?

b.)   As measured at a point along the y-axis, at y=+4 cm, what is the magnitude of the magnetic field due to the wire on the left?

c.)   As measured at a point along the y-axis, at y=+4 cm, what is the magnitude and direction of the net magnetic field due to both wires?

d.)   A third wire of length 0.35 m carrying a current of 0.5 A into the page, were placed at a point on the y-axis at y=+4 cm. What is the magnitude and direction of the force it would feel?

Explanation / Answer

The above solution is correct with some faults in it. A and B are correct but IN C the net magnetic field will be in y direction and not x hence instead of 3/5 it will be 4/5 which will give the answer as 0.8X8T=6.4T

So, in d) too the force will be ILB=0.5X0.35X6.4 T =1.12N Ans

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