You have a Helium (He) nucleus at the origin of your coordinate system. What is the direction of the electric field 4 cm to the right of the He nucleus? (A Helium nucleus contains two protons and 2 neutrons.)

Problem 13:   An electron has an initial velocity of 5.15 × 106 m/s in a uniform 1.9 × 105 N/C electric field. The field accelerates the electron in the direction opposite to its initial velocity. Part A: How far does the electron travel before coming to rest in m?  Part B: How long does it take the electron to come to rest in s?  Part C: What is the magnitude of the electron's velocity (in m/s) when it returns to its starting point in the opposite direction of its initial velocity?

Singly-ionized helium contains two protons and one electron (there are also neutrons, but they have net zero charge and are not pertinent to this problem). Suppose the electron is located a distance of 2.65 × 10^-11 m from the nucleus. Place the nucleus at the origin of your coordinate system and the electron on the positive-x axis. What is the position on the x-axis at which the electric field is zero?

(a) A spherical metal conductor (Q = 7.5C) is placed r = 0.9 m from an identical conductor with a different charge (q = 13.6  C). The two conductors are brought into contact and separated. What is the electric charge on either sphere after they have come into contact? Answer in SI units. (b) What is the magnitude of the initial electrical field (conductors in their initial configuration) at the midpoint between the two conductors? Answer in SI units and multiply your answer by 10^-11.

(a) Find the magnitude and direction of the net electric field at point P. For direction, give the angle counterclockwise from the positive x-axis. Draw the electric fields created by q1, q2 , and the net electric field in the diagram above. (b) Suppose a particle with charge -6.3 microC and mass 1.5 * 10 ^ - 27 kg, is placed at point P. Find the magnitude and direction of the acceleration of that particle. For direction, give the angle counterclockwise from the positive x-axis.

A proton moving at v0 = 3.60 ✕ 106 m/s enters the region between two parallel plates with charge densities of magnitude ? = 2.70 ✕ 10−9 C/m2 (see the figure below). Calculate the magnitude of the electric field (in N/C) between the plates. Calculate the magnitude of the electric force (in N) acting on the proton. Find the y-location of the proton (in m) when it reaches the far edge of the plates, a horizontal distance d = 5.00 ✕ 10−2 m from where it entered. Assume that the proton does not hit either of the plates. (Assume the +x direction is to the right and the +y direction is up.)

An alpha particle (a helium nucleus) is traveling along the positive x-axis at 1200 m/s when it enters a cylindrical tube of radius 0.400 cm centered on the x-axis. Inside the tube is a uniform electric field of 5.50  10-4 N/C pointing in the negative y-direction. How far does the particle travel before hitting the tube wall? Neglect any gravitational forces. Note: m? = 6.64  10-27 kg; q? = 2e. m

A proton and an electron in a hydrogen atom are separated by an average distance of 5.3 x 10-11m. What is the magnitude and direction of the electric field set up by the proton at the electron’s position?

Two equal positive charges (10 μC) are arranged at the base of an equilateral triangle of sides 20 cm. What is the electric field at the top vertex of the triangle? What is the direction of the electric field?

In this example, we will analyze the motion of an electron that is released in an electric field. The terminals of a 100 V battery are connected to two large, parallel, horizontal plates 1.0 cm apart. The resulting charges on the plates produce an electric field E in the region between the plates that is very nearly uniform and has magnitude E = 3.0×104 N/C. Suppose the lower plate has positive charge, so that the electric field is vertically upward, as shown in (Figure 1). (The thin pink arrows represent the electric field.) If an electron is released from rest at the upper plate, what is its speed just before it reaches the lower plate? How much time is required for it to reach the lower plate? The mass of an electron is mẹ = 9.11 x 10-31 kg. The thin arrows represent the uniform electric field. 1.0 cm 100 V In this example, suppose a proton (mp = 1.67 × 10-27 kg) is released from rest at the positive plate. What is its speed just before it reaches the negative plate? Express your…