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Problem 35 Medium Difficulty

A generator connected to the wheel or hub of a bicycle can be used to power lights or small electronic devices. A typical bicycle generator supplies 6.00 V when the wheels rotate at $\omega=20.0 \mathrm{rad} / \mathrm{s} .$ (a) If the generator's magnetic field has magnitude $B=0.600 \mathrm{T}$ with $N=100$ turns, find the loop area $A$ . (b) Find the time interval between the maximum emf of $+6.00 \mathrm{V}$ and the minimum emf of $-6.00 \mathrm{V}$ .

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Video Transcript

all right. The maximum human induced is given by dis equation. Sure, I am. I produced is number of loops times, magnetic field strength times, area times. Uh uh, angular velocity, rotational speed. And so a will be recalled to maximum. What's colors you, Sam? For Max? Um, the Imus ah equals he sebum maxim of your math over and kind. Scoot times, Omega. Let's plug those values. And since the six bolts over 100 terms times 1000.6 tesla times, um, Omega is 20 radiance for a second. So this gives you area of five times 10 to the negative. Three square leaders that was part a And then part be asked you for the time it takes to go from plus six plus six bolts to minus six bowls minus six votes from. And so for that, you know that omega rotation velocity of that Max is you call the two pi over tea. Okay, so that's s 02 physical to two pi over omega. That's two pi over 20. That's pi over 10. Great pie over 10 seconds high over 10 seconds for for the entire no rotation. So we're going to divide this by half to get our actual time, which is pi over time. Over too. That's pi over 20 seconds, which is 1.0 point 157 seconds on and

New Mexico State University
Top Physics 102 Electricity and Magnetism Educators
Elyse G.

Cornell University

Christina K.

Rutgers, The State University of New Jersey

Zachary M.

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Physics 102 Electricity and Magnetism Bootcamp

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