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In Figure 1, an insulating rod is bent into a semicircle of radius R. A charge -Q is uniformly distributed along its top half (for 0 < Ɵ < π/2) while a charge +Q is uniformly distributed along its bottom half (for -π/2< Ɵ < 0). Find the lectrostatic force in unit vector notation, acting on an electron with charge -e which is located at the origin O.

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Two large rectangular sheets of charge of side L are parallel to each other and separated by a distance d (d << L). The left and right sheets have surface charge densities of 4.4 μC/m2 and -18.9 μC/m2, respectively. Points A, B, C, and D are outside the sheets near the center of the squares. Take +x to be to the right. 1. Assume point A is at a distance 0.1d from the left sheet. Find the value of the electric field, in newtons per coulomb with its sign, at point A. 2. Assume point B is at a distance 0.25d from the left sheet. Find the value of the electric field, in newtons per coulomb with its sign, at point B. 3. Assume point C is at a distance 0.4d from the right sheet. Find the value of the electric field, in newtons per coulomb with its sign, at point C. 4. Assume point D is at a distance 0.1d from the right sheet. Find the value of the electric field, in newtons per coulomb with its sign, at point D.
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A disk with radius R and uniform positive charge density o lies horizontally on a tabletop. A small plastic sphere with mass M and positive charge hovers motionless above the center of the disk, suspended by the Coulomb repulsion due to the charged disk. At what height h does the sphere hover? Express your answer in terms of the dimensionless constant v = 20 Mg/ (Qo). Express your answer in terms of some or all of the variables R and v. h = R- 1-v √(2-v)v Submit Part C h = Previous Answers Correct If M = 300 g, Q = 1.0 μC, R = 6.0 cm, and o = 10 nC/cm², what is h? Express your answer with the appropriate units. μᾶ Value 2 Units Submit Previous Answers Request Answer ? <
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An infinite sheet of charge is located in the y-z plane at x = 0 and has uniform charge denisity o1 = 0.62 µC/m². Another infinite sheet of charge with uniform charge density o2 = -0.29 µC/m² is located at x = c = 33 cm.. An uncharged infinite conducting slab is placed halfway in between these sheets ( i.e., between x = 14.5 cm and x = 18.5 cm). d a/2 a/2| a/2 1) What is Ex(P), the x-component of the electric field at point P, located at (x,y) = (7.25 cm, 0)? N/C Submit 2) What is oa, the charge density on the surface of the conducting slab at x = 14.5 cm? | µC/m² Submit 3) What is V(R) - V(P), the potentital difference between point P and point R, located at (x,y) = (7.25 cm, -18.5 cm)? Submit 4) What is V(S) - V(P), the potentital difference between point P and point S, located at (x,y) = (25.75 cm, -18.5 cm)? V submit + 5) What is Ex(T), the x-component of the electric field at point T, located at (x,y) = (40.25 cm, -18.5 cт)? N/C Submit R.
The figure below shows a charged particle, with a charge of q = +38.0 nC, that moves a distance of d = 0.185 m from point A to point B in the presence of a uniform electric field E of magnitude 245 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 particle? magnitude Ndirection ---Select--- toward the right toward the left The magnitude is zero. (b) What is the work (in J) done on the particle 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 particle moves from A to B? (The system consists of the particle and all its surroundings.) PEB − PEA = J (d) What is the potential difference (in V) between A and B? VB − VA = V
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