conducting rod in magnetic field

IIT JEE Answers › Electricity and magnetism questions › conducting rod in magnetic field

A conducting rod of length l is hinged at a point.It is free to rotate in a vertical plane.There exists a uniform mag. field B perpendicular to the plane.The rod is released from horizontal position.What is the potential difference between the ends of the rod as a function of angle Î¸ the rod makes with the starting posn?

#Physics #Electricity and magnetism

UP 0 DOWN 0 2 4
Post on FacebookPost anonymously?

4 Answers

33

Abhishek Priyam ·2009-02-17 21:48:29

By energy conservation...
Ï‰=√3gsinÎ¸/l

dÎµ=Ï‰xBdx
Îµ=Ï‰Bâˆ«xdx

=Ï‰Bl²/2

Put value of Ï‰
Îµ= B√3gsinÎ¸
2

______________

UP 0 DOWN 0
Post on FacebookPost anonymously?

1

Vivek ·2009-02-18 07:19:59

i understood the second part but can u explain how u got the value of Ï‰ or the exact expression you used

UP 0 DOWN 0
Post on FacebookPost anonymously?

33

Abhishek Priyam ·2009-02-18 07:40:15

mg(l/2)sinÎ¸=(1/2)m(l²/3)Ï‰²

UP 0 DOWN 0
Post on FacebookPost anonymously?

33

Abhishek Priyam ·2009-02-18 07:48:40

opsie.. edited that

UP 0 DOWN 0
Post on FacebookPost anonymously?

Your Answer

Basic Integral Calculus Operators Symbols Matrix Cases

√ √ || {} [] () → ~ ^ x x x → → ln log lg lim lim cos sin tan cot arcsin arccos arctan

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

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

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

° ∂ ∞ 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