2. Suppose the electric field in some region is found to be E = kr³, in spherical coordinates (k is one constant). c. Find the charge density p d. Find the total charge in the sphere of radiu R, centered at the origin. (Do it using the Gauss's Law and create a Gaussian surface and evaluate the flux manually)

2. Suppose the electric field in some region is found to be E = kr³, in spherical coordinates (k is one constant). c. Find the charge density p d. Find the total charge in the sphere of radiu R, centered at the origin. (Do it using the Gauss's Law and create a Gaussian surface and evaluate the flux manually)

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter24: Gauss’s Law

Section: Chapter Questions

Problem 24.10P: The electric field everywhere on the surface of a thin, spherical shell of radius 0.750 m is of...

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The electric field everywhere on the surface of a thin, spherical shell of radius 0.750 m is of magnitude 890 N/C and points radially toward the center of the sphere. (a) What is the net charge within the spheres surface? (b) What is the distribution of the charge inside the spherical shell?
4. What is the electric flux if a 3.2 m2 surface is inclined at 65O from the vertical to an 8.5 N/C horizontal uniform electric field? a. 25 Nm2/C b. 11 Nm2/C c.20 Nm2/C d.31 Nm2/C
4. Use Gauss's Law and basic surface and volume integrals to determine the electric field of a spherical conductor (radius=2 m) that has a net charge of -40C. What is the electric field 1 m away from the center of the sphere? What is the electric field 3 m center of the sphere? What is the electric field 10 m from the center of the sphere? Is there any where that would have 0 net electric field?
8. A flat sheet of paper of area 0.250 m2is oriented so that the normal to the sheet is at an angleof 60Oto a uniform electric field of magnitude 14 N/C. (a) Find the magnitude of the electric fluxthrough the sheet. (b) Does the answer to part (a) depend on the shape of the sheet? Why orwhy not? (c) For what angle between the normal to the sheet and the electric field is themagnitude of the flux through the sheet (i) largest and (ii) smallest? Explain your answers.(EXPLAIN ALL DETAILS) asap please
1. What are the electric field and electric flux of a sphere with a radius of 0.500 m and carries a charge of +1.00 μC at its center?
13. Consider an electron and the surface that encloses it in Figure A. What is the electric flux through this surface?
4. A uniform electric field of magnitude 19000 N/C is perpendicular to a square sheet with sides 0.7 m long. What is the electric flux through the sheet? This is not and will not be graded
2. A uniformly charged, straight filament 2.0 m in length has a total positive charge of 3.0 ??. An uncharged cardboard cylinder 0.5 cm in length and 5.0 cm in radius surrounds the filament at its center, with the filament as the axis of the cylinder. Using reasonable approximations, find (a) the electric field at the surface of the cylinder and (b) the total electric flux through the cylinder.
2. (a) Explain briefly the advantages of Gauss’s law over Coulomb’s law for thecalculation of the electric field.(b) A spherical ball of charged particles has a uniform charge density throughoutits volume. If the radius of the ball is 10 cm, find the radial distance both inside and outsidethe sphere where the electric field is one-third of the maximum electric field.
#2. (a)Explain briefly the advantages of Gauss’ law over Coulomb’s law for thecalculation of the electric field.(b)A spherical ball of charged particles has a uniform charge density throughoutits volume. If the radius of the ball is 10 cm, find the radial distance both inside and outsidethe sphere where the electric field is one-third of the maximum electric field.
3. A 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 0.18 m 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.
#5 What is the electric flux evaluated on the closed surface represented by the dashed line S? Can you explain to me why the answer is C? Thank you so much.