You are shipwrecked on a deserted island. You have a radio transmitter that you

Question

You are shipwrecked on a deserted island. You have a radio transmitter that you could operate using a generator but you have no magnets. The earth's magnetic field at your location is horizontal and equal to 8* 10^-5 T, and you decide to try to use this field for a generator by rotating a large circular coil of wire at a high rate. You need to produce a peak emf of 3V and estimate that you can rotate the coil at 2 Hz by turning a crank handle. You also decide that to have an acceptable coil resistance, the maximum number of turns the coil can have is 3000. (A) The law of physics that should be used to calculate the parameters of this generator is called the ___ law. (B) What should be the area of the coil?

Explanation / Answer

(a) faradays law

(b) from faradays law rate of change of flux induces emf

V = d(NBAcos(wt))/dt

V = NBAwsin(wt)

Vmax = NBAW

w = 2pif

3 = 3000*8*10^-5*A*2*3.14*2

A = 0.995 m^2

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