Physics - Magnetism Question with Solution | TestHub

PhysicsMagnetismBiot-savart's & Ampere's Circuital lawEasy2 minPYQ_2020

PhysicsEasysingle choice

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 -

Options:

Answer:

Solution:

$B = \frac{μ_{0} N i}{2 R}$

$ϕ = π b^{2} \times B \times N$

$ϕ = L i$

$L = \frac{ϕ}{i} = \frac{μ_{0} N^{2} b^{2}}{2 R}$ , with $b < < < R$

$E = \frac{1}{2} L i^{2} = \frac{μ_{0} N^{2} i^{2}}{4 R} b^{2}$

Subject:PhysicsTopic:MagnetismSubtopic:Biot-savart's & Ampere's Circuital law

⏱ 2mℹ️ Source: PYQ_2020

Doubts & Discussion

Loading discussions...