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

Question

(c) 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 40.0 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

magnetic flux through the coil is:

=NABcos
So, the induced EMF is:

E=d/dt(NABcos)=NABd/dt sin
If we call the angular velocity as a function of time (d/dt), then the net EMF as a function of time is:

E = NAB
Put the value of E, A, B
= 265625 rad/s
1 rad/s = 9.61 rpm
Therefore, = 2552656 rpm

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

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