An electric field of magnitude 4.12 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 37.8° with the axis. N.m²/c

An electric field of magnitude 4.12 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 37.8° with the axis. N.m²/c

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter24: Gauss’s Law

Section: Chapter Questions

Problem 24.63CP: A dosed surface with dimensions a = b= 0.400 111 and c = 0.600 in is located as shown in Figure...

See similar textbooks

Similar questions

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°.
Consider the uniform electric field E = (3.0ĵ + 7.0) ✕ 103 N/C. (a) What is its electric flux (in N · m2/C) through a circular area of radius 2.3 m that lies in the yz-plane? (Enter the magnitude.) (b) What is its electric flux (in N · m2/C) through a circular area of radius 2.3 m that lies 45.0° above the xy-plane? (Assume that the unit normal vector is n̂ = 1/(2)1/2(î+k). )
A square sheet with sides 1.57 meters long is held in a uniform electric field of magnitude 1.1 x 10^4 {N/C}. The sheet is oriented at an angle of 60° to the electric field direction (that is, the surface normal vector for the flat slide of the sheet makes a 60° angle relative to the electric field vector). What is the electric flux through the sheet ?
A 3.2-cm-diameter circle lies in the yz-plane with unit vector n^ pointing in the +x-direction. What is the electric flux through the circle if the electric field is E =(2500i^−1500j^+4000k^)N/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.
A uniformly charged, straight filament 8.00 m in length has a total positive charge of 2.00 µC. An uncharged cardboard cylinder 4.70 cm in length and 10.0 cm in radius surrounds the filament at its center, with the filament as the axis of the cylinder. (a) Using reasonable approximations, find the electric field at the surface of the cylinder. magnitude: ____________ kN/C direction: radially outward or radially inward? (b) Using reasonable approximations, find the total electric flux through the cylinder.
There is an electric flux of 38.5 N⋅m^2/C through the square region shown in the figure. Each side of the square has a length of 0.100 m, n^ is the unit vector normal to the plane of the surface, and the electric field is at an angle of ?=141 relative to the plane of the surface. Assuming that the field is uniform over the region shown, what is the magnitude ? of the electric field?
A nonuniform electric field is given by the expression E→ = ay î + bz ĵ + cx k̂where a, b, and c are constants. Determine the electric flux through a rectangular surface in the xy plane, extending from x = 0 to x = w and from y = 0 to y = h.
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 the plane is parallel to the xy-plane.
Electric Flux and Gauss’s Law show solution A circular plane whose r=2.2m is placed in an electric field E=800N/C. The electric field makes an angle of 20 ͦwith the plane. Solve for the magnitude of the electric flux through the plane. A square plane with each side s=1m is placed in an electric field E=800N/C. The electric field makes an angle of 90 ͦwith the plane. Solve for the magnitude of the electric flux through the plane. Solve for the electric flux through a 3D closed surface enclosing a charge
A point charge qq is at the point x=0,y=0,z=0.x=0,y=0,z=0. An imaginary hemispherical surface is made by starting with a spherical surface of radius RR centered on the point x=0,y=0,z=0x=0,y=0,z=0 and cutting off the half in the region z<0.z<0. The normal to this surface points out of the hemisphere, away from its center. Calculate the electric flux through the hemisphere if (a) q=8.00 nCq=8.00 nC and R=0.100 m;R=0.100 m; (b) q=−4.00 nCq=−4.00 nC and R=0.100 m;R=0.100 m; (c) q=−4.00 nCq=−4.00 nC and R=0.200 m;.
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.