A charge -300e is uniformly distributed along a circular arc of radius 4.00 cm, which subtends an angle of 40°. What is the linear charge density along the arc? A charge -300e is uniformly distributed over one face of a circular disk of radius 2.00 cm. What is the surface charge density over that face? A charge -300e is uniformly distributed over the surface of a sphere of radius 2.00 cm. What is the surface charge density over that surface?
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![A charge -300e is uniformly distributed along a circular arc of radius 4.00 cm, which subtends
an angle of 40°. What is the linear charge density along the arc?
A charge -300e is uniformly distributed over one face of a circular disk of radius 2.00 cm.
What is the surface charge density over that face?
A charge -300e is uniformly distributed over the surface of a sphere of radius 2.00 cm. What
is the surface charge density over that surface?
A charge -300e is uniformly spread through the volume of a sphere of radius 2.00 cm. What
is the volume charge density in that sphere?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F59099c49-16d9-4224-871b-d68d76cdc4f1%2F3fe75c95-de69-4688-9084-5c7fe2f99530%2Fpa3a95s_processed.jpeg&w=3840&q=75)
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- 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…Below is a solid sphere of insulating materials (meaning that once placed, charge will not move around even when it feels a force). This sphere has a changing charge density given by the equation below. This tells you that there is more charge near the outer edges (when r is larger) then near the center (when r is small) since the charge density is proportional to r^2. In the image R is the total radius of the sphere and r is the distance from the center you will be asked about. There values are below. You have to calculate the amount of charge enclosed with the radius of r to find the electric field. You'll need to integrate to do this - that's where the charge density equation below will be used. Use Gauss's Law to find the Electric Field magnitude at a distance r from the center of the sphere. Make sure to think about charge enclosed and how to find it. It is a little more complicated in this problem. Be careful with your 2 radial values (R and r).1. a nonconducting rod of length L has charge -q uniformly distributed along its length. (a) What is the linear charge density of the rod? (b) What is the electric field at point P, a distance a from the end of the rod? (c) If P were very far from the rod compared to L, the rod would look like a point charge. Show that your answer to (b) reduces to the electric field of a point charge for a >> L.
- 1 2 3 A В E The figure above shows four very thin parallel planes of charge with equal separation between them. The charge density on plate 1 is 2 nC/m2. The charge density on plate 2 is -5 nC/m2. The charge density on plate 3 is 4 nC/m2. The charge density on plate 4 is 3 nC/m2. Your answers for the electric field must include the correct sign. We choose positive electric field along the positive x-direction. What is the Electric Field at point D? (in units of N/C) N/C Submit Answer Tries 0/2An infinitely long object consists of an inner cylinder of radius a which has a uniform positive volume charge density p > 0 and a concentric thin cylinder of radius b which has a uniform negative surface charge density o0 Figure 7: A cross-sectional view of two cylinders c) Calculate the electric field for r > b. b 0 <0 d) Calculate the electric potential difference for rThe figure shows a solid non-conducting sphere of radius a = 4.4 cm. It is surrounded by a charged conducting spherical shell of inner radius b = 15.3 cm and outer radius c = 24.8 cm. The inner sphere has a net charge of q1 = 9 nC and the conducting spherical shell has a net charge of q2 = -7 nC. a. What is the surface charge density on the inside surface of the spherical shell? b. What is the surface charge density on the outside surface of the spherical shell? c. What is the value of the electric field at a distance r = 58 cm from the centre of the spheres? Please use a negative value to indicate the electric field points toward the centre of the spheres and a positive value to indicate away from the centre of the spheres.A hollow spherical conductor of inner radius has 1.0cm has a 2.0 C point charge at its center. Find the surface charge density at the inner surface of the sphere. A- 2.0C/m^2B- 1600C/m^2C- -1600C/m^2D- -2.0 C/m^2Coaxial cable A long coaxial cable carries a uniform (positive) surface charge density o1 = 5 µC/m². On the inner cylinder radius R1 = 0.8 mm, and uniform surface charge density on the outer cylindrical shell (radius R2 = 1.4 mm). The surface charge is negative and of just the right magnitude so that the cable as a whole is neutral. a) Find the surface charge density ơ2 of the cylindrical shell of radius R2. b) Find an expression of electric field at r mm from the center where R1An infinitely long cylindrical conducting shell of outer radius r1 = 0.10 m and inner radius r2 = 0.08 m initially carries a surface charge density σ = -0.15 μC/m2. A thin wire, with linear charge density λ = 1.1 μC/m, is inserted along the shells' axis. The shell and the wire do not touch and there is no charge exchanged between them. A) What is the new surface charge density, in microcoulombs per square meter, on the inner surface of the cylindrical shell? B) What is the new surface charge density, in microcoulombs per square meter, on the outer surface of the cylindrical shell? C) Enter an expression for the magnitude of the electric field outside the cylinder (r > 0.1 m), in terms of λ, σ, r1, r, and ε0.The electric field just above the surface of the charged drum of a photocopying machine has a magnitude E of 3.0 × 105 N/C. What is the surface charge density on the drum, assuming that the drum is a conductor? Number UnitsA conducting sphere of radius r1 = 0.18 m has a total charge of Q = 1.9 μC. A second uncharged conducting sphere of radius r2 = 0.46 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.Randomized Variables r1 = 0.18 mr2 = 0.46 mQ = 1.9 μC What is the total charge on sphere two, Q2 in coulombs?A 12-cm-long thin rod has the nonuniform charge density X (x) = (3.5 nC/cm) e-/(6.0 cm) where x is measured from the center of the rod. Part A What is the total charge on the rod? Hint: This exercise requires an integration. 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