Question:

Electric field and current density have relation

Updated On: Jul 27, 2022
  • $E \propto J$
  • $E \propto J^2$
  • $E \propto \frac {1}{j^2}$
  • $E^2 \propto \frac {1}{j}$
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The Correct Option is A

Solution and Explanation

Current density relates with electric field as $J=\sigma \, E=\frac {E}{p}i$ where $\sigma$ =conductivity and p= resistivity or specific resistance of substance.
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Concepts Used:

Electromagnetic Induction

Electromagnetic Induction is a current produced by the voltage production due to a changing magnetic field. This happens in one of the two conditions:-

  1. When we place the conductor in a changing magnetic field.
  2. When the conductor constantly moves in a stationary field.

Formula:

The electromagnetic induction is mathematically represented as:-

e=N × d∅.dt

Where

  • e = induced voltage
  • N = number of turns in the coil
  • Φ = Magnetic flux (This is the amount of magnetic field present on the surface)
  • t = time

Applications of Electromagnetic Induction

  1. Electromagnetic induction in AC generator
  2. Electrical Transformers
  3. Magnetic Flow Meter