1.13 Two infinite grounded parallel conducting planes are separated by a distance d. Apoint charge q is placed between the planes. Use the reciprocation theorem ofGreen to prove that the total induced charge on one of the planes is equal to (-q)times the fractional perpendicular distance of the point charge from the other plane.(Hint: As your comparison electrostatic problem with the same surfaces choose onewhose charge densities and potential are known and simple.)

Assume two conducting planes that are perpendicular to z-axis with one passing through the origin…

Answered: Two infinite grounded parallel…

Similar questions

Imagine some space where the permittivity € = 3€0. Within this space, you find a spherical distribution of charge of - 2/r in units of C/m³. Determine the energy (in Joules) required to establish this distribution of charge. [It helps to center this charge distribution at the origin] radius 2 m that has a volumetric charge density of pv =
Shown below (Figure 1) is an electric dipole with equal charges +Q and –Q separated by a distance d. The dipole is free to rotate or move. Consider the following information: The dipole sits inside an electric field with |E| > 0. The dipole feels the largest torque possible. When rotated from its original orientation and released, the dipole moves back towards the original orientation. (a) On the picture below, sketch field lines corresponding to an external electric field that is compatible with this description. (b) Qualitatively, describe what would happen if the external field is shifted by 90 degrees
1
Two point charges of mass m each are suspended in the gravitational field of the Earth by two non-conducting massless strings, each of length 1, attached to the same fixed point. The spheres are given equal charges of the same sign. As a result each string makes angle a to the vertical (see figure below). Write down an expression for the tension of a string Tin terms of Coulomb force Fc between the charges and the angle a. Use the following notation (without the quotes): "/" for division, "*" for multiplication, "+" an "-" as usual. For powers used "^2", while for square root use "sqrt". To indicate that square root applies to the whole expression use brackets - for example, for √AB use sqrt(A*B). For Greek letters such as , a etc. use pi, alpha. For example to get √AB use 1/pi*A^2/B*sqrt(AB). Please use the exact variables given in the conditions of the problem: e.g 1 if L is given, then do not use 1. For subscripts such as Fe simply write "FC" (without the quotes). Please use…
A dipole of moment p1 lies at the origin and a dipole of p2 lies at a point whose position vector is r. Determine the force between the two dipoles. For which orientation of the dipoles does the force maximize?
Figure 1 shows a configuration of a flat plane and an arbitrary shape, both carrying surfacecharge density of magnitude σ. The arrows show the electric field lines. Are the statementsbelow true or false?a) The flat plane is carrying a negative surface charge density −σ and the arbitrary shape iscarrying a positive surface charge density +σ. Justify your answer.b) Both surfaces are equipotential surfaces. Justify your answer.
The uniformly charged straight wire in the figure has the length I, Find the field at point P, a perpendicular distance x from 0, if lambda (λ) is the charge per unit length. Express your answer in terms of , I, x, and appropriate constants. y 0 \r² = (x^² + y²) ² X P dEy dE dE