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5.19 A telephone cable at a place has four long straight horizontal wires carrying a current of 1.0 A in the same direction east to west. The earth’s magnetic field at the place is 0.39 G, and the angle of dip is . The magnetic declination is nearly zero. What are the resultant magnetic fields at points 4.0 cm below the cable?
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Number of long straight horizontal wires = 4
The current carried by each wire = 1A
earth’s magnetic field at the place = 0.39 G
the angle of dip = 350
magnetic field due to infinite current-carrying straight wire
r=4cm =0.04 m
magnetic field due to such 4 wires
The horizontal component of the earth's magnetic field
the horizontal component of the earth's magnetic field
At the point below the cable
The resulting field is