A toroid has a non ferromagnetic core of inner radius 24   cm and outer radius 25   cm , around…

A toroid has a non ferromagnetic core of inner radius 24 cm and outer radius 25 cm, around which 4900 turns of a wire are wound. If the current in the wire is 12 A, the magnetic field inside the core of the toroid is
  1. 56mT
  2. 54mT
  3. 42mT
  4. 48mT

Solution

Here, r1 = 24 cm=24×10-2 m

r2 = 25 cm=25×10-2 m
N=4900 turns, I=12 A

Now, r=r1+r22=24.5×10-2 m
Therefore, magnetic field will be

B=μ0NI2πr=4π×10-74900122π×24.5×10-2=4800×10-548 mT

Asked in: AP EAMCET 2022 (04 Jul Shift 2)

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