Question

In: Physics

Describe the factors (qualitatively and quantitatively) that affect the magnitude of an induced current.

Describe the factors (qualitatively and quantitatively) that affect the magnitude of an induced current.

Solutions

Expert Solution

There are two key laws that describe electromagnetic induction

a) Faraday's law: The electrmagnetic induction or the emf induced is equal to the rate of change of magnetic flux through a loop.

  

b) Lenz's law: The Lenz's law describes the electromagnetic induction as a consequence of conservation of energy applied to electromagnetic induction. This states the direction of the emd induced.

  

This means that any magnetic field produced by an induced current will be in the opposite direction to the change in the original field. Also, electro-magnetic induction is proportional to the number of loops in the coil.

Then the induced current will be

where R is the resistance of the wire in which current is induced.

On the above two law, the magnitude of induced current will increase when

  • increase in the rate of change of magnetic field (linearly)
  • number of loops in the wire (linearly)
  • increase in the strength of magnetic field (linearly)
  • decrease in the resistance of wire (linearly)

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