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 0.0250 m2), which can spin through a uniform magnetic field that has a magnitude of 0.0200 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?
V

Explanation / Answer

The formula for induced EMF is

= NBA

The value of , in radians per second, is found by the fact that the coils spins at 21 rev/s

Since there are 2 rad/rev, = (21)(2)/1 = 131.9 rad/s

So = (100)(.02)(.025)(131.9) = 6.60 V

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.