A magnetic field intensity at the centre of a circular wire of radius $0.1 \mathrm{~m}$ carrying a current…

A magnetic field intensity at the centre of a circular wire of radius $0.1 \mathrm{~m}$ carrying a current $0.2 \mathrm{~A}$ is
  1. $2 \pi \times 10^{-5} \mathrm{~T}$
  2. $\pi \times 10^{-7} \mathrm{~T}$
  3. $10^{-7} \mathrm{~T}$
  4. $4 \pi \times 10^{-7} \mathrm{~T}$

Solution

Magnetic field intensity at the centre of a circular wire $B=\frac{\mu_0 i}{2 r}=\frac{4 \pi \times 10^{-7} \times 0.2}{2 \times 0.1}=4 \pi \times 10^{-7} \mathrm{~T}$

Asked in: AP EAMCET 2023 (15 May Shift 1)

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