An infinitely long wire of linear charge density +3 nC/m is surrounded by a metallic shell of inner radius 4 cm and outer radius 5 cm. The metallic shell has a net linear charge density of +4 nC/m. (Figure 1)
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- On a plastic disc of radius R = 10 cm, an electric charge per unit area has been distributed proportional to the distance to the center, the proportionality constant being c = 2 μC/m. Determine the total load of the disk:NCS-1 A non-conducting sphere of radius R=0.300m has a total charge q-100μC that is evenly distributed throughout its volume. a) Find the charge within a radius of r=0.100m. Hint: first find the volume charge density p. b) Find the electric field strength at r=0.100m. c) Find the charge within a radius of r-0.200m. d) Find the electric field strength at r-0.200m. e) Find the charge within a radius of 1-0.300m. f) Find the electric field strength at r-0.300m. g) How does E change with increasing radius? RDensity, density, density. (a) A charge -328e is uniformly distributed along a circular arc of radius 6.00 cm, which subtends an angle of 72°. What is the linear charge density along the arc? (b) A charge -328e is uniformly distributed over one face of a circular disk of radius 3.50 cm. What is the surface charge density over that face? (c) A charge -328e is uniformly distributed over the surface of a sphere of radius 2.00 cm. What is the surface charge density over that surface? (d) A charge -328e is uniformly spread through the volume of a sphere of radius 3.30 cm. What is the volume charge density in that sphere? (a) Number Units (b) Number Units (c) Number Units (d) Number Units
- Question 2 A 43.8 cm long rod has a nonuniform charge density given by the equation A(z) = Ae-2/b, where A = 2.50 nC/cm and b= 14.0 cm. What is the total charge on the rod? Hint: This problem requires integration! + + + + ++ Total charge on rod: +A total amount of positive charge Q is spread onto a thin non-conducting circular annulus of inner radius a and outer radius b. The charge is distributed in a way so that the charge density per unit area is given by ? =??3, where r is the distance from the center of the annulus to any point on it and k is a constant.(a) Find an expression for the total charge Q on the annulus. (b) Find an expression for the potential V at the center of the annulus in term of Q, a and bTwo very large, nonconducting plastic sheets, each 10.0 cm thick, carry uniform charge densities 01, 02, 03 and 04 on their surfaces, as shown in the following figure.These surface charge densities have the values o1 = -5.30 µC/m2, o2-5.00µC/m2, o3 = 2.90 µC/m2, and 04-4.00μC/m2. Use Gauss's law to find the magnitude and direction of the electric field at the following points, far from the edges of these sheets. Part A: What is the magnitude of the electric field at point A, 5.00 cm from the left face of the left-hand sheet? Express your answer to three significant figures and include the appropriate units.