What should the length of the coil be?

A power line carrying a sinusoidally varying current with frequency f=60Hz and peak value I0=55kA runs at a height of 7.0 m across a farmer’s land (see the figure). The farmer constructs a vertically oriented 2.0-m-high 15-turn rectangular wire coil below the power line. The farmer hopes to use the induced voltage in this coil to power 120-Volt electrical equipment, which requires a sinusoidally varying voltage with frequency f = 60Hz and peak value V0 = 170V .

 

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