Consider a toroid, having a circular cross-section of radius b , major radius R R b , having N turns and carrying current I . Find the total energy stored in the toroid.

Question

Consider a toroid, having a circular cross-section of radius b , major radius R R > > b , having N turns and carrying current I . Find the total energy stored in the toroid., μ 0 N 2 I 2 b 2 2 R, μ 0 N 2 I 2 b 2 3 R, μ 0 N 2 I 2 b 2 6 R, μ 0 N 2 I 2 b 2 4 R

MARKS App · Accepted Answer

The magnetic field inside a toroid is, B = μ 0 N i 2 π R Flux linked with the toroid, ϕ = π b 2 × B × N Also, flux is related to self-inductance as, ϕ = L i L = ϕ i = μ 0 N 2 b 2 2 R with b R Energy = 1 2 L i 2 = μ 0 N 2 I 2 b 2 4 R

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