A circular plastic disk with radius R = 2.00 cm has a uniformly distributed charge Q = +(2.00 × 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?
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- (a) Figure (a) shows a nonconducting rod of length L = 9.00 cm and uniform linear charge density λ = +7.57 pC/m. Take V = 0 at infinity. What is V at point P at distance d = 5.20 cm along the rod's perpendicular bisector? (b) Figure (b) shows an identical rod except that one half is now negatively charged. Both halves have a linear charge density of magnitude 7.57 pC/m. With V = 0 at infinity, what is V at P? (a) Number i (b) Number i ·+· -L/2 (a) Units Units L/2 +‡ ‡ ‡+3= L/2 .Р (b) L/210 C of charge are placed on a spherical conducting shell. A particle with a charge of -3C is placed at the center of the cavity. The net charge on the outer surface of the shell is: O-7C O -3 C O OC O +3 C O +7CProblem 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…
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- 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 conducting sphere is placed within a conducting spherical shell. The conductors are in electrostatic equilibrium. The inner sphere has a radius of 1.50 cm, the inner radius of the spherical shell is 2.25 cm, and the outer radius of the shell is 2.75 cm. The inner sphere has a charge of 228 nC and the spherical shell has zero net charge. What is the electric field at a point 3.80 cm from the center? Enter a positive answer if the electric field is directed away from the center and a negative answer if the electric field is directed toward the center.A solid non-conducting sphere of radius 3 cm has a charge of +24 micro(u)C. A conducting spherical shell of inner radius 6 cm and outer radius 10 cm is concentric with the solid non-conducting sphere and carries a charge of -10 micro C. What is the force on an electron located midway in the space between the shell and the solid sphere?
- A long thin rod is bent into a perfect semicircle of radius 4.30 m. The linear change density of the rod is λ = 3.10 nC/m. How much charge is on a small piece of the rod that subtends an angle Δθ = 0.170 radians? 13.3 nC 0.527 nC 2.27 nC 4.24 nCAn 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.A conducting sphere of radius r1 = 0.21 m has a total charge of Q = 1.6 μC. A second uncharged conducting sphere of radius r2 = 0.29 m is then connected to the first by a thin conducting wire. The spheres are separated by a very large distance compared to their size. What is the total charge on sphere two, Q2 in coulombs?