(adsbygoogle = window.adsbygoogle || []).push({}); _{1. The problem statement, all variables and given/known data Electricity from the power plant with a power P = 100MW is transmitted by V= 220kV line. At what distance from the wire is the density of the magnetic field equal to the density of the earth's magnetic field B(earth) = 4 × 10^-5 T? What is the force on the L= 200 m long sections of wires between two supporting pillars, if the two wires are spaced d= 5 m? 2. Relevant equations P= V*I B= (μ(0)*I)/ (2πr) F= I*L*B 3. The attempt at a solution First part: At what distance from the wire is the density of the magnetic field equal to the density of the earth's magnetic field BZ = 4 × 10^-5 T? P= V*I → I= P/V I= 100 MV/ 220 kV I= 454.5 A B= (μ(0)*I)/ (2πr) → r= (μ(0)*I)/ (2πB) r= (4π x 10-7 N/A²*454.5 A)/ (2π*4 × 10^−5 T) r= 2.27 m Are my calculations correct? Second part: What is the force on the 200 m long sections of wires between two supporting pillars, if the two wires are spaced 5 m? F= I*L*B F= I*L*((μ(0)*I)/ (2πd)) F= 1.65 N Are my calculations correct? Thank you for helping! }

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# Homework Help: Magnetic field and magnetic force between wires

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