### Analyzing Electric Flux Through a Closed Triangular Box#### Problem StatementConsider a closed triangular box resting within a horizontal electric field of magnitude \(E = 6.22 \times 10^4 \, \text{N/C}\) as shown in the figure below.#### Diagram DescriptionThe diagram depicts a triangular box placed in a horizontal electric field. The specified dimensions of the box are:- Height: 10.0 cm- Base: 30.0 cm- Angle between the slanted surface and horizontal base: 60.0 degreesThe electric field \( \vec{E} \) is directed horizontally, depicted with orange arrows pointing from left to right.#### Questions(a) Calculate the electric flux through the vertical rectangular surface of the box.\[ \text{Electric Flux} (kN \cdot m^2/C) \](b) Calculate the electric flux through the slanted surface of the box.\[ \text{Electric Flux} (kN \cdot m^2/C) \](c) Calculate the electric flux through the entire surface of the box.\[ \text{Electric Flux} (kN \cdot m^2/C) \]Ensure to use the principles of electric flux calculation, considering the orientation of each surface with respect to the electric field direction.

Consider a closed triangular box resting within a horizontal electric field of magnitude E = 6.22 x 10¹ N/C as shown in the figure below. 30.0 cm 60.0⁰ 10.0 cm (a) Calculate the electric flux through the vertical rectangular surface of the box. kNm²/C (b) Calculate the electric flux through the slanted surface of the box. kN. m²/C (c) Calculate the electric flux through the entire surface of the box. kN. m²/c

Consider a closed triangular box resting within a horizontal electric field of magnitude E = 6.22 x 10¹ N/C as shown in the figure below. 30.0 cm 60.0⁰ 10.0 cm (a) Calculate the electric flux through the vertical rectangular surface of the box. kNm²/C (b) Calculate the electric flux through the slanted surface of the box. kN. m²/C (c) Calculate the electric flux through the entire surface of the box. kN. m²/c

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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