In Biot-Savart's law, the magnetic intensity is inversely proportional to the-

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BDL MT Electrical 17 April 2022 Official Paper
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  1. Product of the current
  2. Angle between the elements
  3. Square of the distance between the point and current element
  4. Differential length

Answer (Detailed Solution Below)

Option 3 : Square of the distance between the point and current element
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ST 1: BDL MT Thermodynamics
20 Qs. 20 Marks 16 Mins

Detailed Solution

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Concept:

According to Biot-Savart’s law, the magnetic field at a point due to the incremental element of length dl carrying a current is given by

Where B is a magnetic field in Tesla

I, is the current in the wire in Ampere

r is the radius of the wire in meter

From the above expression, it is clear that the magnetic field at a point due to the incremental element of length dl carrying a current is directly proportional to the current carried by the element.

Magnetic field intensity for Various Current Distribution

For line current

Surface current 

: Surface current density

Volume current

: volume current density

In all lines, surface and volume.

The magnetic intensity is inversely proportional to the Square of the distance between them.

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