If the radius of a circular current carrying coil is doubled then the magnetic field at the center of the coil becomes- (all other factors remains same)

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Airforce Group X MBT 15-Jul-2021 Shift 3
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  1. two times
  2. half
  3. four times
  4. remains same

Answer (Detailed Solution Below)

Option 2 : half
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Detailed Solution

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CONCEPT:

  • Magnetic field: The field around a current-carrying wire or around a magnetic in which the magnetic force can be experienced by another current-carrying wire or by another magnet is called the magnetic field.

The magnetic field at the center of the circular coil is given by:

Where B = strength of the magnetic field, I = current, and R = radius of the circular coil

EXPLANATION:

The magnetic field at centre of the coil (B) is:

B ∝ 

  • If the radius is doubled then the magnetic field at the centre becomes half.
  • Hence, option 2 is correct. 

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