Consider a long charged straight wire that lies fixed and a particle of charge +2e and mass 6.7e-27kg. When the particle is at a distance 1.11cm from the wire it has a speed 2.4e5 /s, going away from the wire. When it is at a new distance of 2.51cm, its speed is 3.7e6m/s. What is the charge density of the wire

The figure below shows three small, positively charged beads at three corners of a rectangle. The particle at upper left has a charge q1 = 3.00 nC, the one at the lower left has a charge of q2 = 6.00 nC, and the one at lower right has a charge q3 = 4.00 nC. The rectangle's horizontal side has length x = 7.00 cm and its vertical side has length y = 2.00 cm. Three positive charges lie at three of the corners of a rectangle of horizontal side length x and vertical side length y < x. An charge labeled q1 is at the upper left corner. A charge labeled q2 is at the lower left corner. A charge labeled q3 is at the lower right corner. (a) What is the electric potential (in V) at the upper-right corner of the rectangle? (Assume the zero of electric potential is at infinity.)  V (b) What would be the potential (in V) at the upper-right corner if the charge q2 at lower left was  −6.00  nC instead?  V

Problem 14:   A 3-D printer lays down a semicircular arc of positively charged plastic with a radius R = 3.5 cm, and a linear charge density of λ = +1.8 μC/m. After the printer has finished the arc, the stylus moves to the center of the arc as shown. The minute segment of the plastic arc highlighted in the diagram subtends an angle dθ. Note the measurement of the angle θ shown in the figure. Part (a)  Input a symbolic expression for the charge dq on the segment of charge of size dθ in terms of given parameters.   Part (b)  Input a symbolic expression for the electric force vector, exerted by the minute segment of plastic subtending the arc dθ on an electron (charge -e), within the stylus at the center of the arc. Express your answer in terms of given parameters, fundamental constants, and the unit vectors i and j in the specified coordinate system.  Part (c)  Find the indefinite integral of the x-component Fx from part (b), but do not evaluate the limits.  Part (d)  Select the limits…

When two identical conducting spheres are held in place and their center-to-center spacing is 42.5 cm, they attract each other with an electrostatic force of 0.019 N. A tiny conductive wire connects the spheres after that. The spheres repel each other with an electrostatic force of 0.0360 N when the wire is removed. With a positive net charge, what was (a) the negative charge on one and (b) the positive charge on the other of the original charges on the spheres?

In part (a) of the figure an electron is shot directly away from a uniformly charged plastic sheet, at speed vs = 3.60 x 105 m/s. The sheet is nonconducting, flat, and very large. Part (b) of the figure gives the electron's vertical velocity component v versus time t until the return to the launch point. What is the sheet's surface charge density? Assume ts = 28.0 ps. (a) v (105 m/s) t (ps) (b)

Measuring the Charge. You and your team are designing an experiment where two spherical insulating beads of diameter 0.45 cm and mass 0.15 g are strung together on a fine thread that passes through microscopic holes drilled through their centers. When hung vertically, the lower bead rests on a knot at the bottom of the thread and the upper bead rests upon the lower bead. When placed inside a vacuum chamber and exposed to X-rays (highly energetic electromagnetic radiation), the beads acquire equal, uniform distributions of positive charge on their surfaces due to the loss of electrons ejected when struck by the X-rays. During this experiment, the beads are hung vertically, and a gap forms between them as if the top bead were levitating above the lower one, presumably due to the repulsive electrostatic force between them. The gap, that is, the vertical separation between the top of the lower bead and the bottom of the upper bead, is 0.27 cm. (a) How much excess charge is on each bead?…

A 26.3-g mass is suspended 4.35 cm above a nonconducting flat plate, directly above an embedded charge of q.  a) If the mass has the same charge, q, how much must q be so that the mass levitates (just floats, neither rising nor falling)? b) If the charge q is produced by adding electrons to the mass, by how much will the mass be changed?

The classic Millikan oil drop experiment was the first to obtain an accurate measurement of the charge on an electron. In it, oil drops were suspended against gravity by a vertical electric field. microscope Assume the oil drop to be 1.90 µm in radius and have a density of 922 kg/m3. (a) Find the weight of the drop. N (b) If the drop has a single excess electron, find the magnitude of the electric field strength needed to balance its weight. N/C

An infinite sheet of charge with surface charge density o = -87 C/m? lives in the x-y plane. A thin rod of charge with length L = 13.0 cm is placed along the +z-axis that the end closest to the sheet is located a distance d = 2.0cm away from the sheet. When held at this position, the linear charge density of the rod can be described by K =az, where a = +35 nC/m. 1, What is the force F on the rod from the sheet? 2, Can you draw a picture to represent it?

A large electroscope is made with "leaves" that are 78-cm-long wires with tiny 24-g spheres at the ends. When charged, nearly all the charge resides on the spheres. If the wires each make a 30 degree angle with the vertical, what total charge Q must have been applied to the electroscope? Ignore the mass of the wires.