+ + A flat slab of nonconducting material has thickness 2d, which is small compared to its height and breadth. As shown in the figure, the x axis is defined to be along the drection of the slab's thickness with the origin at the center of the slab. This slab density p(x) = -Po in the region carries volume charge a -dsx<0 and p(x)= +Po in the region 0 < xS +d. What is the electric field vector in the region x d/3? (Let p, be a positive constant). 2d Po E D) 3dpo I E) 4dpo 2dpo C) i B) 3dpo 280 380 A) 200 300 ++ - +++ ... 111
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- Please asapWhat is the y (vertical) component of the force exerted on charge qc by charges qa and qb?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 hollow conducting sphere has an inside radius of r1 = 0.17 m and an exterior radius of r2 = 0.27 m. The sphere has a net charge of Q = 5.4E-06 C. What is the field E1 in N/C 1 m from the sphere's exterior surface? What is the magnitude of the field at a distance of 0.05 m from the center of the sphere?In the figure four particles form a square with edge length a = 3.02 × 10-2 m. The charges are q₁ = 94 = 2.37 × 10-15 ℃ and 92 = 93 = q. (a) What is q if the net electrostatic force on particle 1 is zero? (b) Is there any value of q that makes the net electrostatic force on each of the four particles zero? a aA 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?
- An infinitely long rod lies along the x-axis and carries a uniform linear charge density λ = 5 μC/m. A hollow cone segment of height H = 27 cm lies concentric with the x-axis. The end around the origin has a radius R1 = 8 cm and the far end has a radius R2 = 16 cm. Refer to the figure. a. Consider the conic surface to be sliced vertically into an infinite number of rings, each of radius r and infinitesimal thickness dx. Enter an expression for the electric flux differential through one of these infinitesimal rings in terms of λ, x, and the Coulomb constant k. b. Integrate the electric flux over the length of the cone to find an expression for the total flux through the curved part of the cone (not including the top and bottom) in terms of λ, H, and the Coulomb constant k. Enter the expression you find. c. Calculate the electric flux, in N•m2/C, through the circular end of the cone at x = 0. d. Calculate the electric flux, in N•m2/C, through the circular end of the cone at x = H. e.…A negative point charge Q1, is located at the origin. A rod of length L is located along the x axis with the near side a distance d from the origin. A positive charge Q2, is uniformly spread over the length of the rod. After integrating the force from each slice over the length of the rod, the magnitude of the electric force on the charge at the origin can be represented as the following: F = (k |Q1| |Q2|) / (d (d + L)) Let L = 2.22m, d = 0.42m, Q1 = -6.29µC, and |Q2| = 11.1µC. Calculate the magnitude if the force in newtons that the rod exerts on the point charge at the origin.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.
- Part A (Figure 1) shows five electric charges. Four charges with the magnitude of the charge 2.0 nC form a square with the size a = 1.0 cm. Positive charge with the magnitude of q = 7.0 nC is placed in the center of the square. What is the magnitude of the force on the 7.0 nC charge in the middle of the figure due to the four other charges? Express your answer with the appropriate units. Figure y -2.0 nC a 2.0 nC + q + -2.0 nC 2.0 nC 1 of 1 μÅ ? Fon q = Value Units Submit Previous Answers Request Answer × Incorrect; Try Again; 4 attempts remaining Part B What is the direction of the force on the 7.0 nC charge in the middle of the figure due to the four other charges? Express your answer in degrees to two significant figures. x 0 = ΕΠΙ ΑΣΦ Submit Request Answer ? °, counterclockwise from the positive x-axisA hollow sphere of radui R has a uniform nagative surface charge density -\sigma on its surface and a positive point charge +Q at its center. The charge Q is greater than the absolute magnitude of the total charge on the surface. The direction of the E-field is radially outward both inside and outside the sphere. What is the magnitude of the E-field inside the sphere at a distance r<R from the center? What is the magnitude of the E-field outside the sphere at a distance r<R from the center?