Faraday's Induced Emf: Help & Solutions Needed

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SUMMARY

The discussion revolves around calculating the average induced electromotive force (emf) in various wire loops subjected to changing magnetic fields, as outlined in GianPSE3 problems 29.P.002, 29.P.005, and 29.P.006. The key formulas involve the area of the circular loops, specifically using the formula A = πr², where r is the radius. The user initially miscalculated the area and the induced emf for the first problem but received clarification on the correct approach, leading to successful resolutions for all problems.

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Knowledge of calculating the area of a circle using A = πr²
  • Familiarity with the concept of induced emf in electrical circuits
  • Basic skills in solving physics problems related to magnetic fields
NEXT STEPS
  • Study Faraday's Law and its applications in electromagnetic induction
  • Learn how to calculate induced emf in various configurations of loops and coils
  • Explore the effects of changing magnetic fields on induced currents
  • Practice solving additional problems from GianPSE3 or similar physics textbooks
USEFUL FOR

This discussion is beneficial for physics students, educators, and anyone interested in understanding electromagnetic induction and its practical applications in electrical engineering.

Kali8972
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I'm reposting this because my homework is due in an hour and I still have not received help on how to solve this. I understand now that the the loop is equal to one. But could someone be generous enough to explain to me what the area is on problem 2 and 3 and why .503 is wrong for question 1?

I'm having a lot of trouble with the following questions. I was wondering if someone could steer me in the right direction and tell me what I'm doing wrong.


1. [GianPSE3 29.P.002.] A 20 cm diameter circular loop of wire lies in a plane perpendicular to a 0.80 T magnetic field. It is removed from the field in 0.10 s. What is the average induced emf?

2. [GianPSE3 29.P.005.] A 8.0 cm diameter loop of wire is initially oriented perpendicular to a 1.2 T magnetic field. It is rotated so that its plane is parallel to the field direction in 0.40 s. What is the average induced emf in the loop?

3. [GianPSE3 29.P.006.] A 7.6 cm diameter wire coil is initially oriented so that its plane is perpendicular to a magnetic field of 0.63 T pointing up. During the course of 0.12 s, the field is changed to one of 0.25T pointing down. What is the average induced emf in the coil?

Any help or suggestions would be greatly appreciated! Thanks so much!

Work:
http://www.pitt.edu/~slm17/problem1.jpg
http://www.pitt.edu/~slm17/problem2.jpg
http://www.pitt.edu/~slm17/problem3.jpg
 
Last edited by a moderator:
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the radius is .2m, not .10
.10 is what you wrote for seconds.
the area of a circle is ╥r^2

a loop would be one turn
a coil would be multiple turns
 
Last edited:
Thanks! Stupid me haha! Got them all right now! Thanks!
 

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