How Do You Calculate the Change in Magnetic Field in a Coil?

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SUMMARY

The discussion focuses on calculating the change in magnetic field in a rectangular coil of wire with dimensions 0.040 m by 0.080 m, consisting of 110 turns. An average electromotive force (emf) of 2.0 V is induced over a time period of 0.040 s. The relationship between the induced emf and the change in magnetic flux is established, emphasizing that the total induced emf is 110 times the emf per turn. This is derived from Faraday's Law of Electromagnetic Induction, which states that a changing magnetic field induces voltage in a coil.

PREREQUISITES
  • Understanding of Faraday's Law of Electromagnetic Induction
  • Knowledge of magnetic flux concepts
  • Familiarity with the Biot-Savart Law
  • Basic principles of electromotive force (emf)
NEXT STEPS
  • Study the derivation of Faraday's Law of Electromagnetic Induction
  • Explore calculations involving magnetic flux in coils
  • Learn about the Biot-Savart Law and its applications
  • Investigate the relationship between induced emf and magnetic field changes
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Students in physics, electrical engineers, and anyone interested in understanding electromagnetic induction and its applications in coils and circuits.

tj03
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I have no idea where to stat on this question.

A magnetic field is perpendicular to a 0.040 m 0.080 m rectangular coil of wire that has 110 turns. In a time of 0.040 s, an average emf of magnitude 2.0 V is induced in the coil. What is the magnitude of the change in the magnetic field?

Can anyone help me out?
 
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What equation relates the change in magnetic flux to the voltage induced in a single turn of wire? The answer is just 110 times that, since the closed loop integral can follow the path of the 110 spiralling turns, and then return back down to connect to the start of the coil.

Remember, a current in a wire causes a magnetic field (see Biot-Savart), and a changing magnetic field/flux through a loop causes an induced emf or voltage (who's law?).
 

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