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Question: Answered & Verified by Expert
Consider a toroid of circular cross-section of radius b , major radius R much greater than minor radius b , (see diagram) find the total energy stored in magnetic field of toroid -

PhysicsMagnetic Effects of CurrentJEE Main
Options:
  • A B2π2b2R2μ0
  • B B2π2b2R4μ0
  • C B2π2b2R8μ0
  • D B2π2b2Rμ0
Solution:
1672 Upvotes Verified Answer
The correct answer is: B2π2b2Rμ0
B=μ0Ni2R

ϕ=πb2×B×N

ϕ=Li

L=ϕi=μ0N2b22R , with  b<<<R

E=12Li2=μ0N2i24Rb2

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