KE of the shell

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A Large spherical shell(radius r, charge q) rotating with angular velocity is placed in gravity-free space, having uniform magnetic field, suc that its direction is perpendicular to the axis of rotation. If the mass of shell is "m", find the maximum kinetic enrgy of the shell.

#Physics #Electricity and magnetism

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king_khan ·2009-04-06 11:15:40

hey b555,
just want to confirm the method...

c the shperical shell can be considered as infinite rings, each of which acts as a magnetic dipole...due to its charge and the process of being rotated

so v can calculate the total magnetic dipole moment (let p_m)

the PE of the dipole is p_m X B ...
by energy conservation same is KE ???

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Dr.House ·2009-04-06 11:21:56

well, i did not get what u said

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Basic Integral Calculus Operators Symbols Matrix Cases

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∫ ∫ ∫ ∫ ∫ ∬ ∬ ∬ ∬ ∬ ∭ ∭ ∭ ∭ ∭ ⨌ ⨌ ⨌ ⨌ ⨌

∑ ∑ ∑ ∑ ∑ ∮ ∮ ∮ ∮ ∮ ∏ ∏ ∏ ∏ ∏ ∐ ∐ ∐ ∐ ∐

+ - × ÷ ± ∓ = ∪ ∩ ≠ ∼ ≈ ∅ ∀ ∃ ∈ ∋ ∝ ≤ ≥ ≃ ≅ ≡ < > ≪ ≫ ⊂ ∉ ⊃ ⊆ ⊇ ⇒ ⇐ ⇔ ⇒ ⇐ ⇔ ⇑ ⇓ ⇕ → ← ↔ → ← ↔ ↑ ↓ ↕ ↖ ↗ ↘ ↙ ↪ ↩ ⇀ ↼ ⇁ ↽

° ∂ ∞ α β γ δ θ λ μ ν ξ π ρ σ φ ω ε ƒ κ τ υ Γ Δ Λ Σ Π Ω

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KE of the shell

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