Electric Field and Charge Distribution | Santa Fe College - Edubirdie

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

2024
Views:

222

Pages:

2
Author:

Jabin F.

Visual Elements: Equations: Numerous equations involving electric field, charge, and constants. Diagram: A simple diagram of a sphere with radius r centered at the origin. Textual Content: Electric Field Electric charge distribution produces an electric field. Equation: E = (1 - e^(-αr)) * (r/r^3) Where: α and ε are constants. The net charge within a sphere of radius r centered at the origin is: Equation: q = ε₀ * Φₑ Solution: Φₑ = ∫∫ E · dS = q/ε₀ E = (1 - e^(-αr)) * (r/r^2) Φₑ = ∫∫∫ (1 - e^(-αr)) * (r/r^2) * r^2 * sinθ dr dθ dφ Φₑ = 4π * (1 - e^(-α)) q = ε₀ * Φₑ = 4π * ε₀ * (1 - e^(-α)) Question 2.8: For an electric field E = k√x * x̂, where k is a non-zero constant, find the total charge enclosed by the cube as shown below.

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