You have a hand-crank generator with a 100-turn coil (each turn having an area o

Question

You have a hand-crank generator with a 100-turn coil (each turn having an area of 0.0400 m2), which can spin through a uniform magnetic field that has a magnitude of 0.0500 T. You can turn the crank at a maximum rate of 3 turns per second, but the crank is connected to the coil thru a set of gears that makes the coil spin at a rate 6x larger than the rate at which you turn the crank. What is the maximum emf (in Volts) you can expect to get out of this generator? If your answer is 22.6 V (which is correct). PLEASE PROVIDE AN EXPLANATION.

Explanation / Answer

Here is what I solved before, please modify the figures as per your question. Please let me know if you have further questions. Ifthis helps then kindly rate 5-stars

You have a hand-crank generator with a 100-turn coil (each turn having an area of 0.0300 m2), which can spin through a uniform magnetic field that has a magnitude of 0.0400 T. You can turn the crank at a maximum rate of 3 turns per second, but the hand crank is connected to the coil through a set of gears that makes the coil spin at a rate 7 times larger than the rate at which you turn the crank.
What is the maximum emf you can expect to get out of this generator?

sol:

The formula to use for maximum induced EMF is

? = NBA?

? is the angular speed which is 21 turns per second. Since there are 2? radians per revolution, then ...

? = 21(2?) = 131.9 rad/s

Then ? = (100)(.04)(.03)(131.9) = 15.8 V

pls rate me first thanks alot dear

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