The figure below shows a current carrying wire located at the origin; the wire c

Question

The figure below shows a current carrying wire located at the origin; the wire carries a current of i = 3.1 A. Points 1, 2, and 3, are all on a circle with radius 15.5 cm which is centered on the origin. (All directions below should be an angle measured counterclockwise from the +x axis to the direction the field points.) (a) What is the magnitude of the magnetic field generated by the wire at any point on the circle? For parts (b) middot (d), assume the wire carries a current directed out of the page. (b) What is the direction of the magnetic field generated by the wire at point 1? (c) What is the direction of the magnetic field generated by the wire at point 2? (d) What is the direction of the magnetic field generated by the wire at point 3? For parts (e) - (g), assume the wire carries a current directed into the page. (e) What is the direction of the magnetic field generated by the wire at point 1? (f) What is the direction of the magnetic field generated by the wire at point 2? (g) What is the direction of the magnetic field generated by the wire at point 3?

Explanation / Answer

a) B = 0 I / 2r

0 = x4 X 10-7

I = 3.1A ; r = 15.5 x10-2

4x10-6   Tesla

b) The direction of magnetic field is counterclock wise

At point 1 the angle is zero , referance to +x direction counterclockwise

c)

angle 90 degree, counterclockwise, direction tangent to the point 2

d)

angle 225 degree, counterclockwise, direction tangent to the point 3

e)

At point 1 the angle is zero , referance to +x direction clockwise.

f)

angle 270 degree, clockwise, direction tangent to the point 2

g)

angle 135 degree, clockwise, direction tangent to the point 3

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