Find the EMF generated by a guitar string in the pickup coils

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SUMMARY

The discussion focuses on calculating the electromotive force (EMF) generated by a guitar string in pickup coils. Participants emphasize the importance of understanding the relationship between the number of turns (N), the area (A) of the coil, and the magnetic field (B) as a function of time (t). The derivative of the magnetic field with respect to time (dB/dt) is crucial for applying the general EMF equation effectively. The conversation highlights the need for clarity on the specific equations and laws governing electromagnetic induction.

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Knowledge of the general EMF equation
  • Familiarity with the concepts of magnetic fields and their time dependence
  • Basic principles of coil geometry, including turns (N) and area (A)
NEXT STEPS
  • Study Faraday's Law of Electromagnetic Induction in detail
  • Learn how to calculate dB/dt for varying magnetic fields
  • Explore the relationship between coil design and EMF generation
  • Investigate practical applications of EMF in guitar pickups
USEFUL FOR

Physics students, electrical engineers, and guitar enthusiasts interested in the principles of electromagnetic induction and its application in guitar pickups.

b1llso
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Homework Statement
A string of acoustic guitar vibrates. The component of the magnetic field perpendicular to the area of a proximal amplifier coil is given by
B = 50.0 mT + (3, 20mT) sin (2π523t).
The circular amplifier coil has 30 turns and a radius of 2.70 mm. Find the induced EMF in the coil as a function of time.
Relevant Equations
B = 50,0 mT + (3, 20mT) sin(2π523t)
I tried using the general EMF equation but don't know how to apply it with the equation from the problem
 
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Hi b1llso. Welcome to PF!

I am not sure what equation you are using. What is the law that you are applying?

Hint: You are given N and A for the coil and you are given the magnetic field B through the coil as a function of time t. What is dB/dt?

AM
 
The answer they don't want: Zero

It's an Acoustic guitar and it uses Silk strings
...or Nylon ones.:wink:
 

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