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Zorluk: OrtaElectromagnetism and Induction

An electrical technician is testing an electromagnetic induction system where a straight copper conductor moves through a uniform, stationary magnetic field. According to Faraday's law of induction, which of the following actions will increase the magnitude of the electromotive force (EMF) induced across the conductor?

  1. A
    Moving the conductor parallel to the magnetic flux lines rather than perpendicular to them
  2. Increasing the velocity at which the conductor cuts across the magnetic flux linesCevap
  3. C
    Applying a steady direct current (DC) voltage across the conductor to maintain a static electric field
  4. D
    Replacing the copper conductor with a dielectric insulator to store electrostatic charge

Cevap

Increasing the velocity at which the conductor cuts across the magnetic flux lines
According to Faraday's law of electromagnetic induction, the magnitude of induced voltage (ee) across a conductor is determined by the formula e=B⋅l⋅v⋅sin⁡θe = B \cdot l \cdot v \cdot \sin\theta. Higher velocity (vv) increases the rate of cutting magnetic flux lines (ΔΦΔt\frac{\Delta \Phi}{\Delta t}), thereby directly increasing the induced electromotive force.

Adım Adım Çözüm

1
Identify the governing formula for induced electromotive force in a moving conductor.
e=B⋅l⋅v⋅sin⁡θe = B \cdot l \cdot v \cdot \sin\theta, where ee is induced EMF, BB is magnetic flux density, ll is conductor length, vv is velocity, and θ\theta is the angle between velocity and the magnetic field.
Faraday's law dictates that induced voltage depends directly on the rate at which magnetic flux lines are cut.
2
Analyze how each parameter affects the magnitude of the induced EMF.
Increasing conductor velocity (vv) directly increases ΔΦΔt\frac{\Delta \Phi}{\Delta t} (the rate of magnetic flux cutting), which proportionally increases the induced voltage (ee).
Faster relative motion between the conductor and magnetic field lines generates greater electrical potential across the conductor.

Anahtar Kavram

Faraday's Law of Electromagnetic Induction
Tahmini Süre:1m 0s
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Konular

Electromagnetism and Induction

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