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TWO CONDUCTING plates each of area A are separated by distance d and they are parallel to each other. A conducting medium of varying conductivity fills space between them. the conductivity varies linearly Ïƒ to 2Ïƒ as we move from one plate to another. Find resistance of the medium.

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Swastik Haldar ·2014-06-09 03:41:29

is the answer 3d/4AÏƒ ?

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Sahil Jain no
Upvote·0· Reply ·2014-06-09 03:50:05
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Akash Anand ·2014-06-09 23:56:23

For this kind of cases, you have to take a differential element of dx width. Form a relation for conductivity as a function of x and find the resistance of the elementary part. Final step is decide the elementary resistances are in series or parallel, accordingly try to integrate.

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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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