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47. When a charge is placed on a metal sphere, it ends up in equilibrium at the outer surface. Use this information to determine the electric field of +3.0 µC charge put on a 5.0-cm aluminum spherical ball at the following two points in space: (a) a point 1.0 cm from the center of tho

47. When a charge is placed on a metal sphere, it ends up in equilibrium at the outer surface. Use this information to determine the electric field of +3.0 µC charge put on a 5.0-cm aluminum spherical ball at the following two points in space: (a) a point 1.0 cm from the center of tho

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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ge q is placed at one of the corners of a cube of Own below. Find the magnitude of the electric the shaded face due to g. Assume q > 0. che location of the surface of a spherical conductor of radius 10.0 cm. respectively. Show that the electric field due to the charge a spherical shell of inner and outer radii ri and r2 46. A total charge Q is distributed uniformly throughout given that the charge is distributed uniformly over the 45. Repeat your calculations for the preceding problem, Determine the electric field due to this charge at a distance of (a) 2.0 cm, (b) 5.0 cm, and (c) 20.0 cm from the center throughout a spherical volume of radius 10.0 cm. 44. A charge of -30 µC is distributed uniformly density of 50 µC/m. What is the electric field at a distance lorm linear charge 2.0 cm from the wire? 50. -5 µClc point 5 cm Find the ele rod (an insi a a copper ro directed o charge pe would be situated s the cube of the sphere. 51. The lux through a cubical box 8.0 cm on N.m²/C. What is the total charge 52. A L and oute long alu of 4 pC surface is ux through a spherical surface is What is the net charge enclosed by opposit outer s the alu electri (r<ri); ba E 4neor(r2 3 (ri srsr); 3 cqoue s apoe des are of length d is placed in a f magnitude E= 4.0 × 10³ N/C endicular to two opposite faces of flux through the cube? E 4reor2 from t 10% (r > r2). (c) 2.5 47. When a charge is placed on a metal sphere, it ends in equilibrium at the outer surface. Use this information to determine the electric field of +3.0 µC charge put on a 5.0-cm aluminum spherical ball at the following two points in space: (a) a point 1.0 cm from the center of the ball (an inside point) and (b) a point 10 cm from the center of the ball (an outside point). 53. s problem, assuming that the eng a body diagonal of the cube. throu R. S up radia -6 C is distributed uniformly whose edges are 8.0 cm long. sity in the cube? (b) What is ube with 12.0-cm edges that distribution? (c) Do the same ges are 10.0 cm long and 5.0 ric flux through a spherical is also concentric with the E: E 48. A large sheet of charge has a uniform charge density of 10 uC/m. What is the electric field due to this charge at a point just above the surface of the sheet? 54 49. Determine if approximate cylindrical symmetry holds for the following situations. State why or why not. (a) A 300-cm long copper rod of ndi +500 nC of ch in ed with int 5 r rod
Transcribed Image Text:ge q is placed at one of the corners of a cube of Own below. Find the magnitude of the electric the shaded face due to g. Assume q > 0. che location of the surface of a spherical conductor of radius 10.0 cm. respectively. Show that the electric field due to the charge a spherical shell of inner and outer radii ri and r2 46. A total charge Q is distributed uniformly throughout given that the charge is distributed uniformly over the 45. Repeat your calculations for the preceding problem, Determine the electric field due to this charge at a distance of (a) 2.0 cm, (b) 5.0 cm, and (c) 20.0 cm from the center throughout a spherical volume of radius 10.0 cm. 44. A charge of -30 µC is distributed uniformly density of 50 µC/m. What is the electric field at a distance lorm linear charge 2.0 cm from the wire? 50. -5 µClc point 5 cm Find the ele rod (an insi a a copper ro directed o charge pe would be situated s the cube of the sphere. 51. The lux through a cubical box 8.0 cm on N.m²/C. What is the total charge 52. A L and oute long alu of 4 pC surface is ux through a spherical surface is What is the net charge enclosed by opposit outer s the alu electri (r<ri); ba E 4neor(r2 3 (ri srsr); 3 cqoue s apoe des are of length d is placed in a f magnitude E= 4.0 × 10³ N/C endicular to two opposite faces of flux through the cube? E 4reor2 from t 10% (r > r2). (c) 2.5 47. When a charge is placed on a metal sphere, it ends in equilibrium at the outer surface. Use this information to determine the electric field of +3.0 µC charge put on a 5.0-cm aluminum spherical ball at the following two points in space: (a) a point 1.0 cm from the center of the ball (an inside point) and (b) a point 10 cm from the center of the ball (an outside point). 53. s problem, assuming that the eng a body diagonal of the cube. throu R. S up radia -6 C is distributed uniformly whose edges are 8.0 cm long. sity in the cube? (b) What is ube with 12.0-cm edges that distribution? (c) Do the same ges are 10.0 cm long and 5.0 ric flux through a spherical is also concentric with the E: E 48. A large sheet of charge has a uniform charge density of 10 uC/m. What is the electric field due to this charge at a point just above the surface of the sheet? 54 49. Determine if approximate cylindrical symmetry holds for the following situations. State why or why not. (a) A 300-cm long copper rod of ndi +500 nC of ch in ed with int 5 r rod
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