Constants Part A Currents in dc transmission lines can be 100 A or higher. Some

Question

Constants Part A Currents in dc transmission lines can be 100 A or higher. Some people are concerned that the electromagnetic fields from such lines near thei homes could pose health dangers. For a line that has current 160 A and a height of 8.0 m above the ground, what magnetic field does the line produce at ground level? Express your answer in teslas. Submit Request Answer Part B What magnetic field does the line produce at ground level as a percent of the earth's magnetic field, which is 0.50 G. Express your answer using two significant figures. ? BE

Explanation / Answer

Part A -

Use the expression -

B = (µo)(I) / (2r)

put the values -

B = (4 x 10^-7 N/A²)(160 A) / (2(8.0 m))

B = 4.0 x 10^-6 T

Part - B -

Be = (0.50 G)(1 x 10^-4 T / G) = 5 x 10^-5 T

therefore -

B/Be = (4.0 x 10^-6) / (5.0 x 10^-5) = 0.08 = 8.0 x 10^-2 = 8.0 %

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