An electron is projected with an initial speed v0 = 5.25×106 m/s into the uniform field between the parallel plates in (Figure 1). The direction of the field is vertically downward, and the field is zero except in the space between the two plates. The electron enters the field at a point midway between the plates. (A) 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.

Four charges are distributed around a circle as shown in the figure. The point P is at the center of the circle. The magnitude of the electric field generated by each charge point P is 300 N/C. What is the (a) direction and (b) magnitude of the net electric field at point P? li Q₂ Write your answer the following way: (a) Direction (b) Magnitude (Choose from left/right/up/down); Explanation.......... N/C; Calculation / Explanation:...------

A circular ring of radius R, as in figure, is charged with a charge Q for half of its length and -Q for the other half. Imagine the ring on a plane. Calculate the eletric field at some point, P, located at some distance d from the center of the ring and along the axis perpendicular to the plane containing the ring and passing through the center, O, of the ring. + +0

The picture on the right shows a plate capacitor. You may assume that the two plates are very large compared to the separation between the plates (i.e. you may treat them as 'infinite' planes). The plates are charged to ±Q, each plate has an area of A, and the plates are separated by a distance d. The x-axis in this problem is pointing from the negative to the positive plate, with the origin at the negative plate. The electric field at point 2 has a magnitude of E. E=3000 A=1 m² d = 8 mm c. What is the electric field strength at point 1? d. What is the charge Q on the plates? ·area A IT +Q €0=8.85 x 10-12 -a X=0 e. What is the electric field strength at point 3? Part A: a. In the picture, sketch the electric field between the plates by drawing the field lines. b. Find the surface charge density n on each plate. Nm² 12 x(mm)

I need help with part b, please! Point charges of 30.0 µC and 45.0 µC are placed 0.650 m apart. (a) At what point (in m) along the line between them is the electric field zero? ANSWER: 0.292 m away from the 30.0 µC charge (b) What (in N/C) is the electric field halfway between them? (Enter the magnitude.) ______N/C

The figure below shows a small, charged bead, with a charge of q = +41.0 nC, that moves a distance of d = 0.174 m from point A to point B in the presence of a uniform electric field  E  of magnitude 255 N/C, pointing right. A positive point charge q is initially at point A, then moves a distance d to the right to point B. Electric field vector E points to the right. (a) What is the magnitude (in N) and direction of the electric force on the bead? magnitude Ndirection     (b) What is the work (in J) done on the bead by the electric force as it moves from A to B?  J (c) What is the change of the electric potential energy (in J) as the bead moves from A to B? (The system consists of the bead and all its surroundings.) PEB − PEA =  J (d) What is the potential difference (in V) between A and B? VB − VA =  V

A thin rod is bent into a half circle of radius R and centered on the y-axis so that it lies flat in the xy-plane as indicated in the diagram. This glass rod is rubbed all over with silk so that the rod has a total positive charge Q uniformly distributed over the length of the bent rod. Answer the following questions to determine the net electric field at an observation location A located on the positive z-axis a distance d from the origin. (See pic 1 for the following questions)  A. Consider an infinitesimal piece of the glass rod located at an angle θ\thetaθ from the positive x-axis. Determine the relative position vector that points from this piece of the rod to the observation location. B. Derive an expression for the electric field dE⃗ of the infinitesimal piece dQ located at angle θ and integrate over the charge distribution to determine the net electric field E⃗ at the observation location. Your answer should only contain the given variables (R, Q, d) and known…

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

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

Solve the following problems completely and neatly. Write your solution in a clean sheet of paper. A +80µC charge is placed at the origin. A -35µC is placed at x = 2m and a +170µC is placed at x= -4m. (a) what is the net electric force acting on the +80µC charge? (b) what is the net electric force acting on the +170µC charge?