Consider the two charges have equal magnitude of q, separated by a distance 2d. Construct the plane equidistant from the charges. Using Maxwell's stress tensor via integration over the plane, find the force of one charge on the other.
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- A unitary charge "q" is located at the distance d=10 cm from the center of a very thin line of length I=20 cm. The charge density is λ=40 pC/m and it's through the x axis with its center at the origin 0 Find the change in the electric force on the charge "q", if the filament is folded in two equal parts, keeping the center of the resulting filament at the origin 0 and along the x-axis(a) Use Gauss's Law to find the electric field inside a uniformly charged sphere of radius R and charge density p. (b) Two spheres, each of radius R and carrying uniform charge densities +p and −p, respectively, are placed so that they partially overlap. Call the vector from the positive center to the negative center d. Show that the field in the region of overlap is constant, and find its value. +B/sl O 8:25 Int+96277923 .1023/q قبل دقيقتين 19=3 1| \mu \jC ) is allached by an insulating string to the surface of a very large conductor with a surface charge density of \( \sigma \) = 36.4 \( \mu \)C. Given that the string makes an angle with the surface equal to 30 degrees, find the tension ( in N) in the string. use ɛo = 8.8542x10-12 F-m-1. String + 0 Select one: А. 12.33 B. 24.67 С. 37.00 D. 14.24 8
- An infinitely long cylinder of radius R is uniformly charged throughout its volume with density . Determine the strength of the electric field E inside the cylinder and outside. Plot the dependence E (r), where r is the distance from the axis of the cylinder.A semi-infinite line extending from – o to 0 carries a uniform charge distribution of 100 nC/m. Find the electric field intensity at P(0, 0, 2). If a charge of -1 µCs placed at P, calculate the force acting on it.A proton is held stationary at distance d, from an infinitely large conducting plane (sheet) of charge with uniform charge density -o. It is then released and moves straight towards the plane. Find the speed of the proton when it is at distance d, from the plane. The electric field of the plane is uniform everywhere in space and has the magnitude E = Ignore the gravitational force. Present your answer symbolically.
- Find the electric field vector anywhere in the plane of a dipole. Let the charge value on one charge be q. Let them be separated by d. Let the origin be in between them. And say they are each on the y axis.A straight, copper wire has a length of 5.0 m and an excess charge of 10.0 10° C distributed uniformly along it. In order to find the magnitude of the electric field at a point located 7.5 103 m from the midpoint of the wire, we build a cylindrical Gaussian surface along the wire with the midpoint of the wire in the center. Assuming the length of the cylindrical Gaussian surface is 0.2m. a) How much charge is enclosed in the Gaussian surface? b) What is the magnitude of the electric field at a point located 7.5 103 m from the midpoint of the wire? gaussian surface charged wireA spherical shell of internal radius a and external radius a is made of a dielectric material with fixed polarization P(r) = K. Find the electric field E(r) at all points.