A* A long current-carrying wire, oriented North-South, lies on a table (it is co

Question

A* A long current-carrying wire, oriented North-South, lies on a table (it is connected to batteries which are not shown). A compass lies on top of the wire, with the compass needle about 3 mm above the wire. With the current running, the compass deflects 14 degrees to the West. At this location, the horizontal component of the Earth's magnetic field is about 2e-5 tesla. What is the magnitude of the magnetic field at location A, on the table top, a distance 2.7 cm to the East of the wire, due only to the current in the wire? IBI- What is the direction of the magnetic field at location A, due only to the current in the wire?-Select. tesla

Explanation / Answer

given current carrying wire is in north south direction

compass needle is 3mm above the wire

deflectin, phi = 14 deg to west

horiaontal component of earth magnetic field, Bh = 2*10^-5 T

a. current in wire = i

magneitc field due to wire is towards west, and magnetic field due to earth is to north

hence

tan(phi) = tan(14) = 2ki/dBh = 2*10^-7*i/3*10^-3*2*10^-5

i = 0.0747984008 A

hence atr d = 2.7 cm

B = 2ki/d= 5.5406*10^-7 T

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