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Induced EMF and Lenz's Law

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5 Questions

What determines the size of the induced EMF in the rectangular wire loop?

Magnetic field strength, distance between the rails, and the speed of the moving bar

What is the purpose of using Lenz's law in this scenario?

To determine the direction of the induced magnetic field and the current

What happens to the external magnetic field vector in this scenario?

It stays constant

What is the relationship between the induced field and the change in area vector?

The induced field is opposite in direction to the change in area vector

What is the purpose of the area vector in this scenario?

To represent the area of the rectangular wire loop

Study Notes

Simple Example of Electromagnetic Induction

  • A simple example of electromagnetic induction consists of two metal rails connected via a fixed wire on one end and a metal bar that can move from side to side.
  • This setup produces a rectangular wire loop, the size of which can be changed by moving the bar.
  • The size of the induced EMF (electromotive force) depends on:
    • Magnetic field strength
    • Distance between the rails
    • Speed with which the bar is moved

Direction of Induced Fields

  • Use Lenz's law to determine the direction of both the induced magnetic field and the current.
  • In this case, the external magnetic field vector stays constant, since the external field does not change.
  • The direction of the induced fields is determined by the change in area vector.
  • An area can be represented using an area vector, where:
    • The size of the arrow represents the magnitude of the area
    • The direction of the arrow points perpendicular to the area
  • The induced field will oppose the change in area vector.

Determine the direction of the induced magnetic field and current in a rectangular wire loop using Lenz's law. Learn how the size of the induced EMF depends on the magnetic field strength, distance between the rails, and speed of the bar movement. A fundamental concept in physics, test your understanding of electromagnetic induction.

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