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

2024
Views:

300

Pages:

4
Author:

Jabin F.

Gauss' Law: The electric flux crossing through a closed surface is equal to the enclosed charge divided by the permittivity of free space (ε₀). Limitations: Electric flux can be calculated for any closed surface, regardless of its shape (symmetric or asymmetric). To calculate the electric field, a symmetric shape is generally required. Gauss' law can only calculate the electric field of monopoles. Overall, the image provides a visual representation and mathematical expression of Gauss' law, which relates the electric flux through a closed surface to the enclosed charge. It also highlights the limitations of using Gauss' law to calculate electric fields. Main Equations: ∮E · ds = E * ∫ds ΦE = ∮E · ds = (1/ε₀) * Qenc E = given ∫(∇ · E) dτ = (1/ε₀) * ∫ρ dτ ∇ · E = ρ/ε₀ Diagram: A cube with a point charge 'q' placed at one corner. Equations: Mathematical equations involving electric flux, charge, and constants. Notes: References to "Ques 19" and "Page-83." Textual Content: Main Equations: ΦE = ∮S E · ds = (1/ε₀) * Qenc Φcube = (q/8ε₀) Φ6 = Φ2 = Φ3 = 0 Additional Notes: The charge is equally distributed on all surfaces. The faces sharing the charge have no flux. The electric field lines are parallel to the surface, resulting in zero flux. Main Equations: Φ₁ = Φ₄ = Φ₅ = (q/20ε₀) Φcube = (q/4ε₀) Φsquare = (q/6ε₀) Additional Notes: The charge is equally distributed on all surfaces. The faces sharing the charge have no flux. The electric field lines are parallel to the surface, resulting in zero flux. The z=0 plane is a square of side 'a' with a charge q placed at (0,0,a/2). The electric flux through the square is calculated using the given equations.