The magnetic field at the centre of semi-circular wire carrying current i is

Answer (Detailed Solution Below)

Option 2 :
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CUET General Awareness (Ancient Indian History - I)
10 Qs. 50 Marks 12 Mins

Detailed Solution

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CONCEPT:

  • The Current-Carrying Conductor produces a magnetic Field Around it. 
    • Biot Savarts Law: The direction and Magnitude of this magnetic field can be obtained from Biot Savarts Law. 

Where dB = Magnetic Field produced due to small wire of length dl, I = Current in wire, μ= Permittivity of free space, dl = Small Current Element

  • The magnetic field generated due to the current-carrying circular conductor at its center is given as:

  • This result has been obtained from Biot Savarts Law.

EXPLANATION:

  • The Magnetic Field Produced due to the Semi-Circular wire is half of that of Circular wire.
  • So, the magnetic field produced at the center of the wire 

  • Hence option 2 is the correct option.

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