he electrostatic field in terms of the given quantities.

The figure shows the interface between two linear dielectrics, silicon and silicon dioxide with relative permittivities 12 and 4 respectively. The interfaces of the two materials are perpendicular to the 2 as shown in the figure, and can contain an interface charge density, p. An electric field in silicon dioxide (region 1) is given as : 4î + 6k kV/m. D₁ and D₂ are the corresponding electric displacements in regions 1 and 2 respectively. The questions on this page are all based on this E₁ = system. Р E2, D2, E₁, D₁ Region 2: Si Er2 = 12 Er1 = 4 Region 1: SiO₂ N 12, X

Three uniform charge distributions are present in a region: an infinite sheet of charge, a finite line charge, and a ring of charge. The infinite sheet of charge at (x, -3, z), where x and z spans from negative to positive infinity, has a charge density ps = 5 nC/m². The finite line charge at (0, -1, z), where z ranges from -2 to 2, has a charge density PL = -4 nC/m. Finally, the ring of charge, with a radius of 3m and charge density PL = 2 nC/m, is parallel to the xz-plane centered at (0, 4, 0). All coordinates are in meters. Use the value k = 9 x 109 in your solutions and answers. Determine the magnitude of the electric field due to the infinite sheet charge only at (0, 2, 0). (4 Decimal places)

Find the ratio of q/Q for the E-field to be zero at adistance of z = 3.59R for the charge distributionand geometry of problem #30 of the text. a isthe charge on the LARGER ring. Q is the chargeon the SMALLER ring. Answer in 5 Significant Figures!!

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A charged nonconducting rod, with a length L and a cross-sectional area A, lies along the positive side of an x axis with one end at the origin. The volume charge density p is charge per unit volume. Express your answer in terms of the given variables using e to represent the elementary charge. (a) How many excess electrons are on the rod if p is uniform? na = (b) How many excess electrons are on the rod if p is nonuniform, with a value given by p=bx^2, where b is a constant with the appropriate units? nb =

Compute for the work done, in millijoules, in moving a 9-nC charge from A(-1, 1, 3) m to B(-1, -4, 9) m against the electric field due to a ring charge of radius 6 m on the plane z = 0. The ring has a total charge of 6 mC. use 4 decimal answer

Needs Complete typed solution with 100 % accuracy.          Otherwise skip if u can't give complete solution.

A spherical conductor of radius RR has no net charge on it. However, there is a cavity inside it of radius aa and concentric with the conductor and there is a point charge, +Q+Q, in the centre of that cavity. The situation is shown in the figure below. R +Q Take R=20.0 cm, a=10.0 cm and Q=7.50 µC. (a) What is the surface charge density of the induced charge on the inner surface of the conductor? (b) What is the surface charge density of the outside surface of the conductor?

In empty space there is (-∞, 0) semi-infinite linear uniform and constant charge density ρl = 3 [C / m] on the z-axis. Calculate the electrostatic field that this charge density will create at the point C (0,0,4). ke = 1 / 4πε Write numerically the components of the electrostatic field in terms of the given quantities.