this P2. Near the equator the Earth\'s magnetic field can be completely horizont
ID: 2103404 • Letter: T
Question
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P2. Near the equator the Earth's magnetic field can be completely horizontal. Suppose that in a lab in the tropics the Earth's magnetic field is completely horizontal, directed due north and has a magnitude of 3.80 times 10-5 T. The figure at right shows a top view of a 10.0 cm piece of wire running perpendicular to the field in this lab. A current of 20.0 A runs through the wire to the east (as shown). What are the magnitude and direction of the magnetic force exerted on the wire? [3 marks] Point A (as shown) is 1.5 cm due north of the middle of the wire. What is the direction and magnitude of the magnetic field due to the wire at this point? State any approximations that you are making in arriving at your answer. [4 marks] What is the total magnetic field (vector) at point A? [1 mark]Explanation / Answer
A) F = BIL = 3.8 * 10^-5 * 20 * 0.1 = 7.6 * 10^-5 N
Direction = out of the plane...as it is the top view...so in 3-D, the force will be towards the sky
B) B = uI / 2*pi*d = 2 * 10^-7 * 20 / 0.015 = 2.667 * 10^-4 T
Direction = out of the plane...as it is the top view...so in 3-D, the force will be towards the sky
Assumptions used :
THe wire is considered to be infinetely long, since the point is very close to the wire
C) B(vector) = 3.8 * 10^-5 i 2.667 * 10^-4 j
where, i = unit vector in NORTH direction
j = unit vector in vertical top direction (towards sky)
Magnitude = 2.69 * 10^-4 T
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