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At one time, concern was raised about the possible health effects of the small a

ID: 1902366 • Letter: A

Question

At one time, concern was raised about the possible health effects of the small alternating (60-hertz) magnetic fields created by electric currents in houses and near power lines. In a house, most wires carry a maximum of 15 amperes (there are 15-ampere fuses that melt and break the circuit if this current is exceeded). The two wires in a home power cord are about 3 millimeters apart as shown in the figure below, and at any instant they carry currents in opposite directions (both of which change directions 60 times per second). Calculate the maximum magnitude of the alternating magnetic field, 96.4 cm away from the center of a long straight power cord that carries a current of 15 amperes. Both wires are at the same height as the observation location. Answer in units of T At one time, concern was raised about the possible health effects of the small alternating (60-hertz) magnetic fields created by electric currents in houses and near power lines. In a house, most wires carry a maximum of 15 amperes (there are 15-ampere fuses that melt and break the circuit if this current is exceeded). The two wires in a home power cord are about 3 millimeters apart as shown in the figure below, and at any instant they carry currents in opposite directions (both of which change directions 60 times per second). Calculate the maximum magnitude of the alternating magnetic field. 96.4 cm away from the center of a long straight power cord that carries a current of 15 amperes. Both wires are at the same height as the observation location. Answer in units of T

Explanation / Answer

B = (i/2) * (1/(d-1.5e-3) - 1/(d+1.5e-3))

B = (2e-7*15) * (1/(0.964-1.5e-3) - 1/(0.964+1.5e-3))

B = 9.68e-9 T

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