Create a uniform (constant & parallel) magnetic field in a small volume of space

Question

Create a uniform (constant & parallel) magnetic field in a small volume of space. The field should be .5 tesla, equal to the strength of the Earth's magnetic field. you can get a current of 2 Amperes from a power source, and you must choose one of the following methods:
a) in between two long parallel wires spaced distance 2D apart
b.) a long solenoid of length l and N turns
c.) a single long straight wire at distance r from the wire
d.) a flat coil of radius R and N turns

show how one would get the required field. Specify the method and the physical dimensions needed.

Explanation / Answer

two long parallel lines will create this field, with the current flowing in opposite directions. (i.e. one into the page, one out of the page). in order for the field to be perfectly uniform, the small volume of space must be located near the center of the wires. since we are saying its a small space, ill just assume 1 meter of length in the center of a longer wire(maybe 5m...it doesnt matter as long as its longer)

to find the distance 2d, substitute it into the formula for parallel cables.
F = ILB = I1I2L/2(2d)

just plug in I1 and I2 =2, F=.5 and solve for d.

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