(II) A power line carrying a sinusoidally varying current with frequency f = 60 Hz and peak value I 0 = 55 kA runs at a height of 7.0 m across a farmer’s land (Fig. 29–41). The farmer constructs a vertically oriented 2.0-m-high 10-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 = 60 Hz and peak value V 0 = 170 V. What should the length ℓ of the coil be? Would this be unethical? FIGURE 29–41 Problem 16.
(II) A power line carrying a sinusoidally varying current with frequency f = 60 Hz and peak value I 0 = 55 kA runs at a height of 7.0 m across a farmer’s land (Fig. 29–41). The farmer constructs a vertically oriented 2.0-m-high 10-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 = 60 Hz and peak value V 0 = 170 V. What should the length ℓ of the coil be? Would this be unethical? FIGURE 29–41 Problem 16.
(II) A power line carrying a sinusoidally varying current with frequency f = 60 Hz and peak value I0 = 55 kA runs at a height of 7.0 m across a farmer’s land (Fig. 29–41). The farmer constructs a vertically oriented 2.0-m-high 10-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 = 60 Hz and peak value V0 = 170 V. What should the length ℓ of the coil be? Would this be unethical?
(I) If the current in a 160-mH coil changes steadily from25.0 A to 10.0 A in 350 ms, what is the magnitude of theinduced emf?
(II) A generator rotates at 85 Hz in a magnetic field of0.030 T. It has 950 turns and produces an rms voltage of 150 Vand an rms current of 70.0 A. (a) What is the peak currentproduced? (b) What is the area of each turn of the coil?
Problem 7)) Consider a transformer, used to recharge rechargeable flashlight batteries, that has 500 turns in its primary coil, 4 turns in its secondary coil, and an input voltage of 120 V.
Note that n = 4
(a) Given that the input current I(p) is 0.0256 A, to produce a 3.2 A output current, convert 0.0256 A to milliamps.
I(p) =
Part (c) What is the power input, in watts? (Explain thoroughly whether or not you use amps or milliamps for this calculation)
Chapter 29 Solutions
Physics for Scientists and Engineers with Modern Physics
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