A vertical straight conductor carries a current vertically upwards. A point
P
lies to the east of it at a small distance and another point Q lies to the west at the same distance. The magnetic field at P is
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Magnetic Field around a vertical current carrying wire is given by B = (mu) i/2 pi*r
r= perpendicular distance between wire and point P or Q i = current
The value of magnetic field is irrespective of position as long as the points are at the same distance. To make the question clearer, change it to 'an infinite vertical straight conductor'.
You can use Ampere's Circuital Law to derive the magnetic field around wire. (http://en.wikipedia.org/wiki/Amp%C3%A8re%27s circuital law)