An electron is projected with an initial speed v0 = 1.70×106 m/s into the uniform field between the parallel plates in (Figure 1). Assume that the field between the plates is uniform and directed vertically downward, and that the field outside the plates is zero. The electron enters the field at a point midway between the plates. If the electron just misses the upper plate as it emerges from the field, find the magnitude of the electric field.         Express your answer in newtons per coulomb. Suppose that in the figure the electron is replaced by a proton with the same initial speed v0v0. Would the proton hit one of the plates? What would be the direction of proton's displacement?   displacement is upward displacement is downward

A uniform electric field measured over a square surface with side length d = 15.5 cm makes an angle θ = 67.0° with a line normal to that surface, as shown in the figure below. There is a square horizontal surface with length and width d. The surface has a normal vertical axis at the center with a vector labeled vector E traveling from the center of the plane up and to the right. Vector E and the normal vertical axis form an angle labeled θ. If the net flux through the square is 5.40 N · m2/C, what is the magnitude Eof the electric field (in N/C)? N/C

Please answer only a.

) Consider an infinitely long cylinder with radius R and uniform surface charge density o. a. Find the magnitude of the electric field at a distance s from the axis of the cylinder for s R. c. Using your answer to part b, find the potential difference between two points: s= a and s = b. thor axis with its

Consider a particle of charge q = 2.4 C and mass m = 1.5 kg passing through the region between a pair of infinitely long horizontal plates separated by a distance d = 4.5 m with a uniform electric field strength E = 36 N/C directed in the downwards direction (-y direction). The particle begins moving horizontally with an initial velocity of v = 25 m/s from a position halfway between the plates. A.How far horizontally in meters will the particle travel before striking one of the plates. B.Caculate the speed in meters per second,with which the particle will strike the plate. C.Suppose that the eletric field is directed upward instead of downward.Caculate the new horizontal distance, in meters, that the particle travels before striking one the plates.

Hi, I am having trouble understanding this scenario.  Here the charge per unit length on this thin rod shown below is λ. What is the electric field at the point P? Considering the electric field at p is dq = λdx, as a small segment dx of the rod containing the charge . How would I find the net field by integrating over the length of the rod? Any help would be greatly appreciated :)

Consider a solid uniformly charged dielectric sphere where the charge density is give as ρ. The sphere has a radius R. Say that a hollow of charge has been created within the spherethat is offset from the center of the large sphere such that the small hollow has its center on the x axis where x = R/2. Using a standard frame where the large frame has its center at the origin, find the Electric field vector at the following points. a.The origin b.Anywhere inside the hollow (challenging) c.x = 0, y = R d.x = -R, y =0

We have calculated the electric field due to a uniformly charged disk of radius R, along its axis. Note that the final result does not contain the integration variable r: R. Q/A 2€0 Edisk (x² +R*)* Edisk perpendicular to the center of the disk Uniform Q over area A (A=RR²) Show that at a perpendicular distance R from the center of a uniformly negatively charged disk of CA and is directed toward the disk: Q/A radius R, the electric field is 0.3- 2€0 4.4.1b

Consider an infinitely long cylinder with radius R. The cylinder is an insulator and it is positively charged, the charge per unit of length is A. (Hint: because it is an insulator you should assume that the charge is spread uniformly across its entire volume). By reflecting on the symmetry of the charge distribution of the system, determine what a) the E-field lines look like around the cylinder. Describe the E-field in words and with a simple sketch. In order to give a complete description of the E-field lines make two sketches: i) one with a side view of the cylinder, ii) one with a cross-sectional view of the cylinder. Make sure to also show the direction of the E-field lines. b) (-- . the figure. Your goal for this part is to properly use Gauss' law to calculate the electric field at point P. Follow the 5 steps below. Consider a point P outside the cylinder, at a distance d from its axis, d > R, as shown in

Assume a uniformly charged ring of radius R and charge Q produces an electric field E at a point Pon its axis, at distance x away from the center of the ring as in Figure a. Now the same charge Q is spread uniformly over the circular area the ring encloses, forming a flat disk of charge with the same radius as in Figure a. How does the field Eick produced by the disk at P compare with the field produced by the ring at the same point? O O Ek Ering O impossible to determine