A uniform magnetic field points upward, in the plane of the paper, as shown by t

Question

A uniform magnetic field points upward, in the plane of the paper, as shown by the arrows in the figure below. A wire is pcrpcndicular to the paper. When the wire carries a current, the net magnetic field at point 2 is zero, The distance from the wire to point 2 is I cm. What is the direction of the current in the wire - into or out of the paper? Explain. Point I is the same distance from the wire as point 2. Use a vector diagram to determine the net magnetic field at point I. Point 3 is twice as far from the wire as point 2. Use a vcctor diagram to determine the net magnetic field at point 3. If the net magnetic field at point 3 is 1.0 times 10-1 T. how much current is flowing in the wire?

Explanation / Answer

a) the current in the wire is into the page as from the right hand thumb rule the current going inside produces a downward magnetic field at 2. b) the net magnetic field at 1 will be a vector sum of the two magnetic fields giving a net magnetic field of B*sqrt(2) at an angle of 45 degrees with the horizontal. c) the magnetic field at 3 due to the wire is B/2 downwards. \=> the net magnetic field will be B/2 upwards. d) B/2 = 1*10^-4 T => 2*10^-7*i*100/2 = 1*10^-4 => i = 10 A

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