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Problem 37 Medium Difficulty

A coil of 10.0 turns is in the shape of an ellipse having a major axis of 10.0 cm and a minor axis of 4.00 cm. The coil rotates at 100. rpm in a region in which the magnitude of Earth's magnetic field is 55.0$\mu \mathrm{T}$ . What is the maximum voltage induced in the coil if the axis of rotation of the coil is along its major axis and is aligned (a) perpendicular to Earth's magnetic field and (b) parallel to Earth's magnetic field? Note: The area of an ellipse is given by $A=\pi a b,$ where $a$ is the length of the semimajor axis and $b$ is the length of the semiminor axis.

Answer

a. 7.23 \times 10^{-5} V
b. zero

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Video Transcript

all right. So not for part. A use the fact that maximum be a meth. Here is the number of terms times, magnetic field, strength, times area, times, rotation, velocity. Uh, so, ah, number of turns is 10. Um, be magnetic. Field strength is 55. Micro tells law 55 times 10 of the negative. Six. Tesla, um, area is pi a b remember, for an ellipse its, um so we're going that be recalling that, eh? It's pi times eight times. Piece of pie terms A, which is five centimeters. So that's 0.5 huh Meters meters, a times B, which is two centimeters for over two. So that's point. Uh 04 meters. So that's your area. Times to pie times. Rpm is rates per minute. So you want it per second to get f You're the frequencies. So it's 100 for minutes, or you divide that by 60 to get, um, per seconds of 16 minutes 1st 60 seconds per minute. All right, so you got 100 over 60 per second. Put that all in and you get 18. Where to micro, huh? Votes. So that's, um, 1.2 attempts in a negative five adults. Um, and in part B, you know that that extra yield is parallel to the, uh uh, You gotta feel this parallel to the rotation access. Um, parallel to meditation access. Therefore, beta is 90 degrees, which means that Absalon will be zero. No industry came off as a result. That's it.

New Mexico State University
Top Physics 102 Electricity and Magnetism Educators
Christina K.

Rutgers, The State University of New Jersey

Marshall S.

University of Washington

Farnaz M.

Other Schools

Aspen F.

University of Sheffield

Physics 102 Electricity and Magnetism Bootcamp

Lectures

Join Bootcamp