A Gaussian cylinder contains a uniformly charged rod with a length of e = 4.0cm. If the flux leaving the Gaussian cylinder is 1.2 × 10° Nm²/C, what is the linear charge density of the rod? Ολ 10.6 μC/cm Ολ-10.6 μC/cm | Ολ2.66 μC/cm Ολ- 0.85 μC/cm Ολ338 μC/cm
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- A -2.87 µC charge is placed at the center of a conducting spherical shell, and a total charge of +8.70 µC is placed on the shell itself. Calculate the total charge on the outer surface of the conductor.A cylinder of length L=5m has a radius R=2 cm and linear charge density 2=300 µC/m. Although the linear charge density is a constant through the cylinder, the charge density within the cylinder changes with r. Within the cylinder, the charge density of the cylinder varies with radius as a function p( r) =p.r/R. Here R is the radius of the cylinder and R=2 cm and p, is just a constant that you need to determine. b. Find the constant po in terms of R and 2. Then plug in values of R and 1. to find the value for the constant p. c. Assuming that L>>R, use Gauss's law to find out the electric field E inside the cylinder (rR) in terms of 1. and R. d. Based on your result from problem c, find the electric field E at r=1cm and r=4cm.A thin cylindrical shell of radius R₁ = 4.5 cm is surrounded by a second cylindrical shell of radius R₂ = 9.5 cm, as in ( Figure 1). Both cylinders are 15 m long and the inner one carries a total charge Q₁ = -0.68 nC and the outer one Q2 = +1.56 nC. Figure RR R₂ 1 of 1 Part A If an electron (m = 9.1 x 10-31 kg) escaped from the surface of the inner cylinder with negligible speed, what would be its speed when it reached the outer cylinder? Express your answers with the appropriate units. Ve= Submit Part B Up = Submit Value 0 μÅ If a proton (m = 1.67 x 10-27 kg) revolves in a circular orbit of radius R = 7.0 cm about the axis (i.e., between the cylinders), what must be its speed? Express your answers with the appropriate units. Request Answer Provide Feedback ī μA Value Units Request Answer wwww ? Units ?
- The volume charge density of the long hollow cylinder, shown in the figure below, is rho= 4 ×10^−5 C/m^3 . Let a be the inner radius and b be the outer (total) radius. If a= 10 cm and b= 15 cm. Find the electric field at: a) r=5 cm b) r=12 cm c) r=25 cmA solid conducting sphere of radius 2.00 cm has a charge 17.00 µC. A conducting spherical shell of inner radius 4.00 cm and outer radius 5.00 cm is concentric with the solid sphere and has a total charge of -6.00 µC. (Take radially outward as the positive direction.) (a) Find the electric field at r = 1.00 cm from the center of this charge configuration. MN/C (b) Find the electric field at r = 3.00 cm from the center of this charge configuration. MN/C (c) Find the electric field at r = 4.50 cm from the center of this charge configuration. MN/C (d) Find the electric field atr = 7.00 cm from the center of this charge configuration. MN/CTwo charged concentric spherical shells have radii 7.64 cm and 17.7 cm. The charge on the inner shell is 3.73 × 10-8 C and that on the outer shell is 1.63 x 10-8 C. Find the electric field (a) at r = 13.0 cm and (b) at r = 34.7 cm. (a) Number i (b) Number i Units Units
- A hollow non-conducting spherical shell has inner radius R1 = 9 cm and outer radius R2 = 15 cm. A charge Q = -25 nC lies at the center of the shell. The shell carries a spherically symmetric charge density ρ = Ar for R1 < r < R2 that increases linearly with radius, where A = 17 μC/m4. What is the radial electric field at the point r = 2R2? Give your answer in units of kN/C.Three parallel sheets of charge, large enough to be treated as infinite sheets, are perpendicular to the x-axis. Sheet A has surface charge density σA = +2.00 nC/m2. Sheet B is 4.00 cm to the right of sheet A and has surface charge density σB = -5.00 nC/m2. Sheet C is 4.00 cm to the right of sheet B, so is 8.00 cm to the right of sheet A, and has surface charge density σC = +6.00 nC/m2. What are the magnitude and direction of the resultant electric field at a point that is midway between sheets B and C, or 2.00 cm from each of these two sheets? Express your answer in newtons per coulomb. Enter positive value if the field points in +x-direction and negative value if the field points in −x-direction.A thin, copper washer of inner radius R = 54.0 mm and width d = 27.0 mm carries a unformly distributed total charge Q-9.00 nC. Determine the z-component of the electric field, Ez, due to the washer at a distance z = 12.0 cm along the washer's symmetry axis. Ez = -7.99 ×104 Incorrect N/C y Z
- There are two concentric cylinders with R1= 0.0056 m and R2= 8R1 with a length of 6.1m. The internal cylinder charge is q=2.7nC and uniformly distributed, the external one is -3q also uniformly distributed. How much is the electric field at r= 4.4R1. Express your answer in N/A to three significant figures.Two 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.Two 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 (Figure 1). These surface charge densities have the values 01 = -5.50 μC/m², 02 = 5.00 μC/m², 03 = 1.00 μC/m², and 4 = 4.00 μC/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 with the appropriate units. E = O μA Value Units ?