Ans should be 526 5nC 3562ayazsqrt5 thanks for the help A un

Ans: should be 5.26%, .5nC, (.356)(2ay+az/sqrt(5))

thanks for the help!

A uniform line charge rho_l lies along the x axis. What percent of the flux from the line crosses the strip of the y = 6 plane having -1 lessthanorequalto z lessthanorequalto 1? A Point charge, Q = 3 nC, is located at the origin of a Cartesian coordinate system. What flux Psi crosses the portion of the z = 2 m plane for which -4 lessthanorequalto x lessthanorequalto 4 m and -4 lessthanorequalto y lessthanorequalto 4 m? A uniform line charge with rho_l = 5 mu C/m lies along the x axis. Find D at (3, 2, 1) m.

Solution

Cartesian coordinates, additionally known as rectangular coordinates, offer a way of rendering graphs and indicating the positions of points on a two-dimensional (2D) surface or in three-dimensional ( 3D ) area. The themegets its name from one amongst the primary folks illustrious to possess used it, the French scientist andthinker René mathematician (1596-1650). The co-ordinate system is employed to outline positions on pc displays and in computer game (VR) renderings. The system is additionally utilized in arithmetic, physics, engineering, navigation, robotics , economics, and alternative sciences.

The sheet consists of 2 perpendicular axes that cross at a central purpose known as the origin. Positions or coordinates square measure determined in line with the east/west and north/south displacements from the origin. The east/west axis is commonly known as the x axis, and also the north/south axis is termed the y axis. For this reason, the sheet is additionally referred to as the XY -plane. The x and y axes square measure linear range lines,that means that every division on a given axis continually represents identical increment. However, the increments on take issueent|completely different} axes will differ. for instance, within the illustration at left below, everyincrement on the x axis would possibly represent two units, whereas every increment on the y axis represents fiveunits. Points or coordinates square measure indicated by writing a gap parenthesis, the x price, a comma, the yprice, and a closing parenthesis in this order. AN example is ( x,y ) = (2,-5). The origin is typically, however notcontinually, assigned the worth (0,0).

Cartesian three-space, additionally known as xyz -space, encompasses a third axis, adjusted at right angles to thesex chromosome -plane. This axis, sometimes known as the z axis, passes through the origin of the sex chromosome -plane. Positions or coordinates ar determined per the east/west ( x ), north/south ( y ), and up/down ( z ) displacements from the origin. As is that the case with the x and y axes, the z axis could be a linear range line. as an example, within the illustration at right higher than, every increment on the x axis may represent five units, everyincrement on the y axis ten units, and every increment on the z axis a pair of units. Points or coordinates ar indicated by writing a gap parenthesis, the x price, a comma, the y price, another comma, the z price, and a closing parenthesistherein order. associate degree example is ( x,y,z ) = (5,-10,-4). The origin is typically, however not invariably,allotted the worth (0,0,0).