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 sh 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. + -e + (s/w01) A

In the figure a small, nonconducting ball of mass m = 0.99 mg and charge q = 2.1 × 10*8 C (distributed uniformly through its volume) hangs from an insulating thread that makes an angle 0 = 37° with a vertical, uniformly charged nonconducting sheet (shown in cross section). Considering the gravitational force on the ball and assuming the sheet extends far vertically and into and out of the page, calculate the surfaçe charge density o of the sheet. m, 4 i Units Number

can you please ans (k)  & ( l)?

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…

A 3-D printer lays down a semicircular arc of positively charged plastic with a radius R = 2.8 cm, and a linear charge density of λ = +1.6 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. 1. Input an expression for the charge dq on the segment of size dθ in terms of given parameters.  2. Input an expression for the electric field vector, dE, generated at the center of the arc by the minute segment of plastic subtending the arc dθ. Express your answer in terms of given parameters, the Coulomb constant k, and the unit vectors i and j.  3. Evaluate the expression from part (b) as an indefinite integral to determine the x-component of the electrical field, Ex, at the center of the arc generated by the entire line of charged plastic.  4. Select the limits of integration that would result in the correct calculation of the electric field at the center of the…

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?…

Two large, nonconducting plates are suspended 8.51 cm apart. Plate 1 has an area charge density of +86.8 µC/m², and plate Plate 1 Plate 2 2 has an area charge density of +10.1 µC/m2. Treat each plate as an infinite sheet. How much electrostatic energy UF is stored in 3.79 cm of the space in region A? Region A Region B Region C UF = J %3D What volume V of the space in region B stores an equal amount of energy? V = cm3

Needs Complete typed solution with 100 % accuracy.          Handwritten solution is completely prohibited.

A circular plastic disk with radius R = 2.00 cm has a uniformly distributed charge Q = +(2.00 x 106)e on one face. A circular ring of width 30 µm is centered on that face, with the center of that width at radius r = 0.50 cm. In coulombs, what charge is contained within the width of the ring?

In the figure a small, nonconducting ball of mass m = 1.1 mg and charge q = 2.4 × 10-8 C (distributed uniformly through its volume) hangs from an insulating thread that makes an angle θ = 38° with a vertical, uniformly charged nonconducting sheet (shown in cross section). Considering the gravitational force on the ball and assuming the sheet extends far vertically and into and out of the page, calculate the surface charge density σ of the sheet.