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You are given two z–directed line charges of charge density
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EBK FUNDAMENTALS OF ELECTROMAGNETICS WI
- Uniform line charge density of 5 nC/m is at y=0, z=2m in free-space while -5 nC/m is located at y=0, z=-2. A uniform surface charge density 0.3 nC/m2 is at y=0.2m, and - 0.3 nC/m is at y=-0.2. Find E at origin?arrow_forwardQ/Find the electric field intensity at the point (P) due to a uniform line charge (ρL) lying along the x- axis and extending from (-4) to (+4) , Where the coordinates of the point P(3,3,4) ??arrow_forwardA very large conducting plate lying in the xy plane carries a charge per unit area of +5.0 nC/m2. A second such plate located above the first plate at z = z0 and oriented parallel to the xy plane carries a charge per unit area of -5.0 nC/m2. Find the electric field for (a) z < 0, (b) 0 < z < z0, and (c) z > z0.arrow_forward
- Volume charge density is located in free space as ρν = 2e−100r nC/m3 for 0 < r < 3 mm, and ρν = 0 elsewhere. Find the total charge enclosed by the spherical surface r = 2 mm. By using Gauss’s law, calculate the value of Dr on the surface r = 2 mm.arrow_forwardCompute for the work done, in millijoules, in moving a 2-nC charge from A(3, 0, -1) m to B(2, 4, -3) m against the electric field due to a disk charge of radius 4 m on the plane x = 0. The disk has a total charge of 9 mC.arrow_forwardIf a line of charge with uniform density ρl extends between z=-L/2 and z=L/2 along the z-axis, obtain an expression for the electric field intensity at any point P(r, ϕ ,0) on the x-y plane. Investigate the case when L becomes infinite.arrow_forward
- In the 0<r<1mm cubic region, it is given as ρ_v=2e^(-100r) nC/m^3. In other places, the charge density is given as 0.a) Find the total charge inside the spherical surface r=1mm.b) Calculate the expression Dr on the r=1mm surface using Gauss's law.arrow_forward5. Determine the total electric field intensity (?̅) in free space at point P (-1, -3, -2) m due to a point charge Q=22nC which is at (3, 5, 1)m and a line charge with charge density equal to 12nC/m which is at x=2m and y=4m.arrow_forwardA uniform line charge and a uniform sheet charge, both infinite in extent, are located in free space along the y-axis and at x = -1 respectively. Determine E at point M(2, -1, 1) if the line charge density is 15 nc/m and the sheet charge density is 2 nC/m^2arrow_forward
- Using Gauss’ law deduce the expression for the electric field due to a uniformly charged spherical conducting shell of radius R at a point (i) outside and (ii) inside the shell. Plot a graph showing variation of electric field as a function of r > R and r < R (r being the distance from the centre of the shell)arrow_forwardPlease answer and write neatly. (Show your complete solution.) Volume charge density is located in free space as ρν = 2e−1000r nC/m3for 0 < r < 1 mm, and ρν = 0elsewhere.(a) Find the total charge enclosed by the spherical surface r = 1 mm.(b) By using Gauss’s law, calculate the value of Dr on the surface r = 1 mm.arrow_forward1. Determine the total charge contained in a line extending from Cartesian point (3, 2, 1)to (5, 4, 7) carrying line charge of density p1(x, y,z)=2x +3y -5z C/m. note: this question is EMT ( electromagnetic field )arrow_forward
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