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 = 8.3 A. Points 1, 2, and 3, are all on a circle with radius 11.1 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?
T
I For parts (b) - (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?
°
II 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) Magnetic field due to a wire at distance r, B = 2kI/r
B = 2*10^-7*8.3/0.111 = 149.549*10^-7 T
b) Direction = anti clockwise, tangential to the circle at the point. o, along y axis. 90 deg anticlockwise
c) Direction = Along -ve x axis. 180 deg anticlockwise
d) Direction = 45 deg to the point in anti-clockwise direction. 225 deg anticlockwise
e) Direction = clockwise, tangential to the circle at the point. o, along -ve y axis. -90 deg anticlockwise
f) Direction = Along x axis. 0 deg anticlockwise
g) Direction = 45 deg to the point in clockwise direction. 135 deg anticlockwise

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