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A point charge Q is surrounded by a spherical surface of radius r0, whose center is at C. Later, the charge is moved to the right a distance
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Chapter 22 Solutions
PHYSICS FOR SCIEN & ENGNR W/MOD MAST
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- An aluminum spherical ball of radius 4 cm is charged with 5C of charge. A copper spherical shell of inner radius 6 cm and outer radius 8 cm surrounds it. A total charge of 8C is put on the copper shell. (a) Find the electric field at all points in space, including points inside the aluminum and copper shell when copper shell and aluminum sphere are concentric. (b) Find the electric field at all points in space, including points inside the aluminum and copper shell when the centers of copper shell and aluminum sphere are 1 cm apart.arrow_forwardDetermine if approximate cylindrical symmetry holds for the following situations. State why or why not. (a) A 300-cm long copper rod of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (b) A 10-cm long copper of radius 1 cm is charged with +500 nC of charge and we seek electric field at a point 5 cm from the center of the rod. (c) A 150-cm wooden rod is glued to a 150-cm plastic rod to make a 300 cm long rod, which is then painted with a charged paint so that one obtains a uniform charge density. The radius of each rod is 1 cm, and we seek an electric field at a point that is 4 cm from the center of the rod. (d) Same rod as (c), but we seek electric field at a point that is 500 cm from the center of the rod.arrow_forwardA rod 14.0 cm long is uniformly charged and has a total charge of 22.0 C. Determine (a) the magnitude and (b) the direction of the electric field along the axis of the rod at a point 36.0 cm from its center.arrow_forward
- A charge of 30C is distributed uniformly a spherical volume of radius 10.0 cm. 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 of the sphere.arrow_forwardACTIVITY 11 15-08-21 ACT The diagram shows two points, X and Y, in the electric field of a -3,7 µC charge. 11. 14. TH st: Y Q=-3,7 µC W E 12 cm S 9 cm a) Determine the electric field (both magnitude and direction) due to Q at point Y. b) When a charge q is placed at X, the net electric field at Y due to the two charges is 1,55 X 10° N-C- west. Is the charge q negative or positive? c) Determine the value of the charge q.arrow_forwardIs the electric field due to a charge configuration with total charge zero, necessarily zero? Justify.arrow_forward
- A very thin filament of uniform linear charge density "A" is located on the x-axis from x=0 to x=a. Prove that the components of the electric field at a point P on the y-axis, located at the distance "y" from the origin are:Ex = -k^(1/y-1/√/y² + a²) i, Ey = kha/y√/y² + a²)]arrow_forward.54 Figure 23-58 shows, in cross section, two solid spheres with uni- formly distributed charge through- out their volumes. Each has radius R. Point P lies on a line connecting Figure 23-58 Problem 54. the centers of the spheres, at radial distance R/2.00 from the center of sphere 1. If the net electric field at point Pis zero, what is the ratio q/qı of the total charges?arrow_forwardThe electric field everywhere on the surface of a charged sphere of radius 0.204 m has a magnitude of 510 N/C and points radially outward from th center of the sphere. (a) What is the net charge on the sphere? ]nc (b) What can you conclude about the nature and distribution of charge inside the sphere? Thie anewer hae not hean graded vetarrow_forward
- On-Axis Field -- What is the correct y-component Egy (in N/C) of the electric field due to the positive charge q=1.00E-9C with dipole separation of s=1.00E-5m located at position y=-1.00E-1m (which is the location of point P in the illustration). Careful with the direction of the component (the sign of the component) and ignore the effect of the negative charge. Also be careful to find the positive straight line distance between point P and the charge q. Report your answer to 3 significant figures. Figure [6.11] -q P yop Respond with the correct number of significant figures in scientific notation (Use E notation and only 1 digit before decimal e.g. 2.5E5 for 2.5 x 105) Type your numeric answer and submit r LJ S 72 s Prarrow_forwardGiven a non-uniform SURFACE charge density 0= 0• sin 0 cos? p, oo = = constant, 0, oi e spherical coordinate angles: 11. Find the total "Q" placed on a sphere of radius "R" centered on the originarrow_forward2) An insulating sphere of radius a carries a net positive charge 4q, uniformly distributed throughout its volume as a volume charge density p. Concentric with this sphere is a conducting spherical shell with inner radius b and outer radius c, and having a net charge -6q, as shown in Figure. Find the electric field in the regions (a) 1, (b) 2, (c) 3, and (d) 4. -6q 49 Insulator a (1 (2 (3. Conductor 4arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPrinciples of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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