Calculate Electric Field from a Coiled Wire and Loop

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SUMMARY

The discussion focuses on calculating the electric field generated by a coil of wire connected to a power supply, specifically when a current decreases in the coil. The key equations used include the electromotive force (emf) equation, emf = -d(φmag)/d(t), and the relationship between emf and electric field, emf = E*2πr. The calculated emf is 6.504e-4, and it is concluded that the electric field at location P remains unchanged even after the wire loop is removed, as the magnetic field continues to change at the same rate.

PREREQUISITES
  • Understanding of electromotive force (emf) and its calculation.
  • Familiarity with magnetic fields and their relationship to electric fields.
  • Knowledge of Faraday's law of electromagnetic induction.
  • Basic principles of electric fields and their measurement.
NEXT STEPS
  • Study Faraday's Law of Induction in detail.
  • Learn about the relationship between magnetic fields and induced electric fields.
  • Explore the concept of electromagnetic fields in coiled wires.
  • Investigate the effects of changing magnetic fields on nearby conductive loops.
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Students studying electromagnetism, physics educators, and anyone involved in electrical engineering or related fields seeking to understand the principles of electric fields generated by coils and loops.

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Homework Statement



A coil of wire is connected to a power supply, and a current runs in the coil. A single loop of wire is located near the coil, with its axis on the same line as the axis of the coil. The radius of the loop is 3 cm.

http://www.webassign.net/mi3/23.P.028.alt01-coil_loop.jpg

At a later time t2, the current in the coil begins to decrease.

(g) What is the magnitude of the electric field at location P, which is inside the wire?
(h) Now the wire loop is removed. Everything else remains as it was at time t2; the magnetic field is still changing at the same rate. What is the magnitude of the electric field at location P?

Homework Equations



emf = -d(phimag)/d(t)

The Attempt at a Solution



I found the emf to be 6.504e-4. I have no idea how to do g, but I thought h should be 0 since the loop is removed, but that was wrong.
 
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emf = E*2*pi*r so solve for E. I'm stuck on the last part as well. I thought the electric field would be zero if the loop was removed
 
h) is fairly simple, it tells you that "Everything else remains as it was at time t2; the magnetic field is still changing at the same rate. What is the magnitude of the electric field at location P?" Therefore you MUST deduce that NOTHING changes at all and the electric field will be exactly the same as in part g. Hope this helps. :D
 

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