Let\'s say that you try to generate electricity by rotating a square coil at a c

Q: Let's say that you try to generate electricity by rotating a square coil at a c

flux = N*B*A*cos(wt) emf = rate of change in flux E = N*B*A*w*sin(wt) Emax = N*B*A*w given Emax = 170 170 = 80*5*10^-5*0.25^2*w w = 680000 rad/s

ID: 1435955 • Letter: L

Question

Let's say that you try to generate electricity by rotating a square coil at a constant rate in the Earth's magnetic field, which has a magnitude that we will take to be 5.0 x 10^-5 T. Your square coil measures 25.0 cm on each side, and has 80 turns. You are trying to generate electricity that has a maximum voltage of 170 V, the same maximum voltage that comes out of a wall socket. At what angular speed do you need to rotate your coil to achieve this maximum voltage? rad/s (d) What is that rotation rate in revolutions per minute (RPM's)? For reference, the crankshaft of the engine of a car traveling on the highway might be spinning at about 2500 RPM's. RPM's

Explanation / Answer

flux = N*B*A*cos(wt)

emf = rate of change in flux

E = N*B*A*w*sin(wt)

Emax = N*B*A*w

given Emax = 170

170 = 80*5*10^-5*0.25^2*w

w = 680000 rad/s <<<---------ANSWER

w = 680000*(60/(2pi))

w = 6493521.6 RPM's

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