a wire wrapped around a toroid has inner radius of 20.0 Cm and an outer radius of 25.0 Cm. if the wire wrapping makes 800 turns and carries a current of 12.0 A . what are the maximum or minimum values of magnetic field within the toroid
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Given:
r₁ = 20cm = 0.2m
r₂ = 25cm = 0.25m
N = 800
I = 12A
To find:
What are the maximum or minimum values of magnetic field within the toroid?
Solution:
B = μNI / 2πa
Bmax → r_min = 0.2m
Bmax = (4π × 10⁻⁷ × 800 × 12) / (2π × 0.2)
Bmax = 9.6 × 10⁻³ T
Bmin = r_max = 0.25m
Bmin = (4π × 10⁻⁷ × 800 × 12) / (2π × 0.25)
Bmin = 7.68 × 10⁻³ T
So, the maximum values of magnetic field within the toroid is 9.6 × 10⁻³ T and minimum values of magnetic field within the toroid is 7.68 × 10⁻³ T.
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