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Magnetism and Matter Problems - Numerical 05

A telephone cable at a place has four long straight horizontal wires carrying a current of 1 ampere in the same direction east to west. The Earth's magnetic field at the place is 0.39 gauss, and the angle of dip is 35^o. The magnetic declination is nearly zero. What are the resultant magnetic fields at points 4.0 cm below, and above the cable?

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Suggested solution:

Suggested solution:

= 0.39 x 0.82 gauss = 0.32 gauss

= 0.39 x 0.57 gauss = 0.22 gauss

The magnetic field at a distance of 4 cm is given by

Below the wire

Resultant horizontal magnetic field,

R_H=(0.32-0.20)gauss = 0.22 gauss

Vertical field, R_v= 0.22 gauss

Resultant field,

Above the wire

Resultant horizontal magnetic field, R_H = (0.32+0.20) gauss

= 0.52 gauss.

Vertical field,

R_v = 0 .22 gauss