EF and PE of Infinite Plane Sheet | Santa Fe College - Edubirdie

University:
Santa Fe College
Course:
ETS 2527C | Electromechanical Components and Mechanisms
Academic year:

2024
Views:

146

Pages:

3
Author:

Jabin F.

Problem Statement: Calculate the electric field (E) and potential (V) of an infinite plane sheet of uniform surface charge density σ, placed at z=0. Equations and Calculations: Gauss's Law: ∮E·dA = Q_enc / ε₀ ∮E·dA = σA / ε₀ Electric Field: EA + EA = σA / ε₀ E = σ / (2ε₀) E = σ / (2ε₀) * ẑ for z > 0 E = -σ / (2ε₀) * ẑ for z < 0 Electric Potential: V = -∫E·dl V = -∫₀ᶻ σ / (2ε₀) dz V = -σ / (2ε₀) * (z - 0) V = -σz / (2ε₀) Problem Statement: Calculate the potential of a uniformly charged infinite plane sheet of charge density σ = 10^-7 C/m² at a distance 10m. Assume potential at 100m is 5V. Equations and Calculations: Potential Difference: V(z) - V(a) = V = σ / (2ε₀) * (a - z) Potential Calculation: V = (10^-7) / (2 * 8.85 * 10^-12) * (90) + 5 V = 5.084 * 10^5 + 5 V ≈ 5.084 * 10^5 V

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EF and PE of Infinite Plane Sheet

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