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The magnetic coils of a tokamak fusion reactor are in the shape of a toroid having an inner radius of 0.700 m and an outer radius of 1.30 m. The toroid has 860 turns of large-diameter wire, each of which carries a current of 13.0 kA.(a) Find the magnitude of the magnetic fieldinside the toroid along the inner radius.

T

(b) Find the magnitude of the magnetic field inside the toroidalong the outer radius.

T

Answer :

Answer

Given,

inner radius, r = 0.7 m

outer radius, R = 1.30 m

Number of turns, N = 8long 60

Current, I = 13 kA

a) Magnetic field inside the toroid along the inner radius

   [tex]B = \dfrac{\mu_0 NI}{2\pi r}[/tex]

   [tex]B = \dfrac{4\pi \times 10^{-7}\times 860\times 13000}{2\pi\times 0.7}[/tex]

        B = 3.194 T

b) Magnetic field inside the toroid along the outer radius

    [tex]B = \dfrac{\mu_0 NI}{2\pi R}[/tex]

   [tex]B = \dfrac{4\pi \times 10^{-7}\times 860\times 13000}{2\pi\times 1.3}[/tex]

        B = 1.72 T  

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