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Zorluk: OrtaElectromagnetic Induction

A rectangular wire loop is pulled horizontally to the right out of a region containing a uniform magnetic field directed perpendicularly into the page. According to Lenz's law, what is the direction of the induced current in the loop and the direction of the resulting magnetic force acting on the loop?

  1. Clockwise induced current; magnetic force directed to the leftCevap
  2. B
    Counter-clockwise induced current; magnetic force directed to the left
  3. C
    Clockwise induced current; magnetic force directed to the right
  4. D
    Counter-clockwise induced current; magnetic force directed to the right

Cevap

Clockwise induced current; magnetic force directed to the left
According to Lenz's law, an induced electric current flows in a direction such that its magnetic field opposes the change in magnetic flux that produced it. As the loop is pulled to the right, the magnetic flux pointing into the page decreases. The loop responds by inducing a current that creates additional magnetic field into the page to resist this decrease. By the right-hand rule, a current circulating clockwise produces a magnetic field into the page. Additionally, the magnetic force created on the loop must oppose the external motion, acting to the left.

Adım Adım Çözüm

1
Determine the change in magnetic flux passing through the loop
As the rectangular loop is pulled to the right out of the magnetic field region, the magnetic flux directed into the page through the loop is decreasing.
Electromagnetic induction depends on the rate of change of magnetic flux.
2
Apply Lenz's law to determine the direction of the induced magnetic field and current
To oppose the decrease in inward flux, the induced current must create its own magnetic field directed into the page. By the right-hand grip rule, an inward induced field corresponds to a clockwise current flow.
Lenz's law states that the direction of an induced current always opposes the change in magnetic flux causing it.
3
Determine the direction of the net magnetic force on the loop
The induced magnetic force must oppose the mechanical motion pulling the loop to the right, so the net magnetic force acts to the left.
Lenz's law is a consequence of the conservation of energy, ensuring mechanical work must be done against electromagnetic forces.

Anahtar Kavram

Lenz's Law and Direction of Induced Current
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Konular

Electromagnetic Induction

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