Home » Electricity & Megnetism » Discuss analogies and the differences between Coulomb’s law and the Biot- Savart’s law?

Discuss analogies and the differences between Coulomb’s law and the Biot- Savart’s law?

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Similarities:

  1. Both the electric and magnetic field depends inversely on square of distance between the source and field point.
  2. Both electric field and magnetic field are proportional to the source strength namely charge and current element respectively.
  3. Both obey superposition principle.

Differences:

  1. According to Coulomb’s law,the electrostatic force between two point charges is directly proportional to the product of their magnitudes and inversely proportional to the square of distance between their centers.
  2. Charge element dq producing electric field is a scalar whereas the current element Idl is a vector quantity having direction same as that of flow of current.
  3. E is acting along the displacement vector whereas B acts perpendicular to l × r.
  4. E is not dependent of θ whereas B depends upon θ.

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