An electric field of intensity 3.50 kN/C is applied along the x-axis. Calculate the electric flux through a rectangular plane 0.350 m wide and 0.700 m long if, a) the plane is parallel to the yz-plane, b) the plane is parallel to the xy-plane, and c) the plane contains the y-axis and its normal makes an angle of 40.0 degrees with the x-axis.

An electric field of intensity 3.50 kN/C is applied along the x-axis. Calculate the electric flux through a rectangular plane 0.350 m wide and 0.700 m long if, a) the plane is parallel to the yz-plane, b) the plane is parallel to the xy-plane, and c) the plane contains the y-axis and its normal makes an angle of 40.0 degrees with the x-axis.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 50P: An insulating solid sphere of radius a has a uniform volume charge density and carries a total...

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An electric field of intensity 3.50 kN/C is applied along the x-axis. Calculate the electric flux through a rectangular plane 0.350 m wide and 0.700 m long if (a) the plane is parallel to the yz-plane, (b) the plane is parallel to the xy-plane, and (c) the plane contains the y-axis and its normal makes an angle of 40.0° with the x-axis.
An electric field of intensity 2.70 kN/C is applied along the x-axis. Calculate the electric flux through a rectangular plane 0.350 m wide and 0.700 m long if the following conditions are true. (a) The plane is parallel to the yz-plane. (b) The plane is parallel to the xy-plane. (c) The plane contains the y-axis, and its normal makes an angle of 42.0° with the x-axis.
An electric field of intensity 3.50 kN/C is applied along the x-axis. Calculate the electric flux through a rectangular plane 0.350 m wide and 0.700 m long if … (a) the plane is parallel to the yz-plane; theta EA=0degrees (b) the plane is parallel to the xy-plane; and … theta EA= 90degrees (c) the plane contains the y-axis, and its normal makes an angle of 30.0° with the x-axis. theta EA= 30degrees
An electric field of intensity 3.40 kN/C is applied along the x-axis. Calculate the electric flux through a rectangular plane 0.350 m wide and 0.700 m long if the following conditions are true. (a) The plane is parallel to the yz-plane.____________N · m2/C(b) The plane is parallel to the xy-plane._____________N · m2/C(c) The plane contains the y-axis, and its normal makes an angle of 35.0° with the x-axis.______________N · m2/C
A metal ball (electrically conductive) with a radius of R = 10cm was placed in a vacuum and charged with a positive charge Q = 20μC. Using Gauss's law, determine the function describing the value of the radial component of the electric field intensity vector depending on the distance from the center of the spherical field for distances greater than or less than the radius of the sphere. Sketch the course of this function describing on the XY axes the characteristic values for the distance equal to the radius of the sphere at the center of the sphere.
Find the electric flux through a rectangular area 3 cm × 2 cm between two parallel plates where there is a constant electric field of 30 N/C for the following orientations of the area: (a) parallel to the plates, (b) perpendicular to the plates, and (c) the normal to the area making a 30° angle with the direction of the electric field. Note that this angle can also be given as 180° + 30°.
a butterfly net is in a uniform electric field of magnitude E= 7mV/m. The rim of the net is a circle of radius a=1cm. If the rim is aligned perpendicularly with respect to the electric field, calculate the net electric flux through the netting in μNm^2/C^2
A cylinder is placed with its long side parallel to the electric fields from a vertical circle. The electric field on the left of the vertical circle is directed to the left and has a magnitude of 60N/C. The electric field on the right of the vertical circle is directed to the right and also has a magnitude of 60N/C. Given that the radius of the flat ends of the cylinder is 10cm, solve the following: 1. The electric flux on all surfaces of the cylinder 2. The total electric flux through the entire cylinder
Consider a closed triangular prism box with height = h and base = 2a resting within a uniform vertical electric field of magnitude E as shown in the figure. Calculate the electric flux through(a) the rectangular surface at the base,(b) the left slanted surface,(c) the right slanted surface.
A right triangular prism is placed in a E = 200 N/C uniform electric field as shown in the Figure above. The base of the prism is a right angle triangle. With the notation above the dimensions of the prism are h = 1.2 m, l = 4.2 m, and ϑ = 30 degrees. Calculate (in N m2/C): a. the electric flux trough the face ABED. b. the electric flux trough the face BEFC. b. the electric flux trough the face BEFC. c. the electric flux trough the face DEF. d. the electric flux trough the face ABC. e. the electric flux trough the face ACFD.
A neutral solid metal sphere of radius 0.1 m is at the origin, polarized by a point charge of 4 ✕ 10−8 C at location <−0.6, 0, 0> m. At location <0, 0.08, 0> m, what is the electric field contributed by the polarization charges on the surface of the metal sphere? (Express your answer in vector form.)
The Electric Flux and Gauss’ Law A flat sheet is in the shape of a rectangle with sides of lengths 0.400 m and 0.600 m. The sheet is immersed in a uniform electric field of magnitude 75.0 N/C that is directed at 20° from the plane of the sheet. Find the magnitude of the electric flux through the sheet.