Generator connected to transformer- Find angular speed of coil

AI Thread Summary
To find the angular speed of the coil in the generator, start by calculating the maximum output voltage using the relationship between current and resistance. Given the maximum current of 63 amps and a resistance of 8 ohms, the output voltage can be determined. Next, apply the transformer equations to relate the primary and secondary voltages, considering the number of turns on each side. Finally, use the formula for maximum induced EMF, ξmax = N B A w, to solve for the angular speed w. This approach will yield the required angular speed in radians per second.
yankeekd25
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Homework Statement



A generator consists of a circular coil of radius 0.2 meters wrapped 10 times and is spun in a uniform magnetic field of 0.38 Tesla. It is connected (on the primary side) to a transformer with 7 turns on the primary side and 20 turns on the secondary side. If the secondary side is connected to a resistance of 8 ohms and a maximum current of 63 amps is required on the secondary side, at what angular speed should the coil be spun in the generator in rad/s?

Homework Equations



Vs =Ns/Np (Vp) or ξs =Ns/Np(ξp)
ξ= N B A w sin (wt), ξmax= N B A w

The Attempt at a Solution



What's the first step to solve this problem? Do I try to solve for the ξprimary which would also be equal to ξmax, since the maximum current is applied? Do I then use ξmax= N B A w to solve for w?
 
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You know the maximum output voltage as the loading resistance and the maximum current is given. From here, you can calculate the required angular speed of the generator by using the equations you cited.

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