Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

The magnetic coils of a tokamak fusion reactor are in the shape of a toroid havi

ID: 1583667 • Letter: T

Question

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 880 turns of large-diameter wire, each of which carries a current of 11.0 kA.

magnetc cois of tokamzk t son reactor are n the shape crtorod ing an ner radus of 0.700 and an outer radus of 1.30 m. The torod has 880 turns of large-d reerite. each of which cy ) rind the megntude gf the megnetic feld inside the toro50ng the inner radius' x Referw tte figure below and note that D is the inner radus n that ngure and eis the aLtf radius. Loop 1 leep 2 b) Find the magnitude of the magnetic field inside the torois aiong the suter radiue

Explanation / Answer

(a) Magnetic field inside the toroid –

B(inner) = (mu0 * N * I) / (2*PI*R(inner))

                = (4*PI*10^-7 * 880 * 11 * 10^3) / (2*PI*0.70) = 2.766 T

(b) Magnetic field outside the toroid –

B(outer) = (mu0 * N * I) / (2*PI*R(outer))

                = (4*PI*10^-7 * 880 * 11 * 10^3) / (2*PI*1.30) = 1.49 T