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(a) At a distance of 0.200 cm from the center or a charged
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- A long, straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the wire. The wire has a charge per unit length of , and the cylinder has a net charge per unit length of 2. From this information, use Gausss law to find (a) the charge per unit length on the inner surface of the cylinder, (b) the charge per unit length on the outer surface of the cylinder, and (c) the electric field outside the cylinder a distance r from the axis.arrow_forwardFigure P15.49 shows a closed cylinder with cross-sectional area A = 2.00 m2. The constant electric field E has magnitude 3.50 103 N/C and is directed vertically upward, perpendicular to the cylinder's top and bottom surfaces so that no field lines paw through the curved surface. Calculate the electric flux through the cylinder's (a) lop and (b) bottom surface, (c) Determine the amount of charge inside the cylinder. Figure P15.49arrow_forwardA dosed surface with dimensions a = b= 0.400 111 and c = 0.600 in is located as shown in Figure 124.63. The left edge of the closed surface is located at position x = a. The electric field throughout the region is non- uniform and is given by E = (3.00 + 2.00x2)i N/C, where x is in meters. (a) Calculate the net electric flux leaving the closed surface. (b) What net charge enclosed by the surface?arrow_forward
- Figure P15.49 shows a closed cylinder with cross-sectional area A = 2.00 m2. The constant electric field E has magnitude 3.50 103 N/C and is directed vertically upward, perpendicular to the cylinder's top and bottom surfaces so that no field lines paw through the curved surface. Calculate the electric flux through the cylinder's (a) lop and (b) bottom surface, (c) Determine the amount of charge inside the cylinder. Figure P15.49arrow_forwardA cylindrical shell of radius 7.00 cm and length 2.40 m has its charge uniformly distributed on its curved surface. The magnitude of the electric field at a point 19.0 cm radially outward from its axis (measured from the midpoint of the shell) is 36.0 kN/C. Find (a) the net charge on the shell and (b) the electric field at a point 4.00 cm from the axis, measured radially outward from the midpoint of the shell.arrow_forwardA solid metal sphere of radius 2.50 mm carries a total charge of -2.00 μCμC . 1) What is the magnitude of the electric field at a distance from the sphere's center of 0.350 mm ? 2)What is the magnitude of the electric field at a distance from the sphere's center of 2.40 mm ? 3)What is the magnitude of the electric field at a distance from the sphere's center of 2.65 mm ? 4)What is the magnitude of the electric field at a distance from the sphere's center of 9.00 mm ?arrow_forward
- A solid ball of radius rb has a uniform charge density ρ. What is the magnitude of the electric field E(r)E( at a distance r>rb from the center of the ball? What is the magnitude of the electric field E(E(r) at a distance r<rb from the center of the ball? Let E(r) represent the electric field due to the charged ball throughout all of space. Which of the following statements about the electric field are true?arrow_forwardA uniformly charged disk sit in the yz-plane with its center at the origin. It has radius 2.5 cm and carries a total charge of 4.0 x 10 -12 C. What is the magnitude of the electricfield on the x-axis of the disk at the disk at distance x = 0.2 cm?What is the direction of the eletric field on the axis of the disk at x = 0.2 cm? (to the center or from the center)Is the magnitude of the electric field at x= 0.2 cm larger or smaller thant the electric field at 0.2 cm from an infinite sheet of charge with the same charge per unit area as the disk?What is the percent difference between the electric field produced by the finite disk and by an infinite sheet with the same charge per unit area at x = 0.4 cm?arrow_forwardA solid insulating sphere of radius 0.07 m carries a total charge of 25 µC. Concentric with this sphere is a conducting spherical shell of inner radius 0.12 m and outer radius of 0.18m and carrying a total charge of -54 µC. Find (a) the charge distribution for the insulating sphere and the conducting spherical shell, and the magnitude of the electric field at the following distances from the center of the two spheres and shell: (b) 0.05 m (c) 0.10 m, (d) 0.15 m, and (e) 0.25 m.arrow_forward
- At what distance along the central axis of a uniformly charged plastic disk of radius R = 1.31 m is the magnitude of the electric field equal to 1/3 times the magnitude of the field at the center of the surface of the disk?arrow_forwardIn the figure below, a solid sphere, of radius a = 1.50 cm is concentric with a spherical conducting shell of inner radius b = 2.00a and outer radius c = 2.40a. The sphere has a net charge q1 = +3.00 fC which is distributed uniformly through the sphere; the shell has a net charge of q2 = −q1. (a) What is the magnitude of the electric field at radial distance r = 0? _____________N/C(b) What is the magnitude of the electric field at radial distance r = a/4? ______________N/C(c) What is the magnitude of the electric field at radial distance r = a? ______________N/C(d) What is the magnitude of the electric field at radial distance r = 1.60a? _________________N/C(e) What is the magnitude of the electric field at radial distance r = 2.10a?________________ N/C(f) What is the magnitude of the electric field at radial distance r = 3.30a? _______________N/C(g) What is the net charge on the inner surface of the shell? _______________fC(h) What is the net charge on the outer surface of the shell?…arrow_forwardA solid metal sphere of radius 3.50 m carries a total charge of -6.10 μC . Need help with part F A. What is the magnitude of the electric field at a distance from the sphere's center of 0.350 m ? |E1| = 0 N/C B. What is the magnitude of the electric field at a distance from the sphere's center of 3.45 m ? |E2| = 0 N/C C. What is the magnitude of the electric field at a distance from the sphere's center of 3.65 m ? |E3| = 4120 N/C d. What is the magnitude of the electric field at a distance from the sphere's center of 6.00 m ? |E4| = 1520 N/C E. How would the answers differ if the sphere was a thin shell? Enter your answers numerically separated by commas. |E1|, |E2|, |E3|, |E4| = 0,0,4120,1520 N/C F. How would the answers differ if the sphere was a solid nonconductor uniformly charged throughout? Enter your answers numerically separated by commas. |E1|, |E2|, |E3|, |E4|arrow_forward
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