Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 23, Problem 7P
To determine
The sketch of an electric field lines and equipotential surface for the region surrounding the charged conductor.
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Chapter 23 Solutions
Physics for Scientists and Engineers
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- Throughout a region, equipotential surfaces are given by z = constant. The surfaces are equally spaced with V = 100 V for z = 0.00 m,= 200 V for 0.50 m, V= 300 V for z = 1.00 m. What is the electric field in this region?arrow_forwardWhen there is a net static charge present on a perfect conductor, and no other charges are presentA) the electric field inside the conductor need not be zero if the conductor is hollow.B) every point throughout the entire conductor will be at a constant potential, but not necessarily at zeropotential.C) every point throughout the entire conductor will be at zero potential.D) the charge will be uniformly distributed over the outside of the conductor (i.e., the surface chargedensity will be constant).E) the surface charge density will be greatest where the conductor is flat and smallest where there aresharp protuberances or points.arrow_forwardProblems 11-14: The sketch below shows cross sections of equipotential surfaces between two charged conductors that are shown in solid grey; the oval is at -80V, while the flat bar is at +50V. Various points on the equipotential surfaces near the conductors are labeled A, B, C, .., I. 0.4 m C H -70 V G -60 V D В F -50 V 40 V -30 V -20 V +20 V +40 V 11. At which of the labeled points will the electric field have the greatest magnitude? а.) G b.) I с.) А d.) H e.) D 12. At which of the labeled points will an electron have the greatest potential energy? а.) А b.) D с.) G d.) H e.) I 13. What is the direction of the electric field at B? a.) toward A b.) toward D c.) toward C d.) into the page e.) up and out of the page 14. What is the magnitude of the electric field at B? a.) 0.4 V/m b.) 10 V/m c.) 40 V/m d.) 100 V/m e.) 400 V/marrow_forward
- Draw 3 equipotential surfaces corresponding to a field that uniformly increases in magnitude but remains constant along Z-direction. How are these surfaces different from that of a constant electric field along Z-direction?arrow_forwardThe metal conductor (shaped like a “C”) is positively charged. (Assume this is a cross-section of a conductor.) a) Sketch the electric field lines (solid arrows) and equipotential lines (dotted) around this conductor. Do at least 3 equipotential lines. Be sure to fill in the electric field lines all around the conductor; pay special attention to the area between the arms of the “C”. Be sure to extend the electric field arrows that start there long enough so that they go out beyond the arms. b) If you were drawing equipotential lines very very far from the “C”, what shape would they look like? c) Describe the electric field INSIDE the conductor (the shaded part (colored blue if you can see the color)). d) We don’t have an equation to calculate the potential around this shape of conductor, but we can qualitatively compare values. Which of your 3 equipotential lines would be at the higher potential? (Which is the higher voltage?) The one closest to the conductor, in the middle, or…arrow_forwardWhich of the following is least likely to always hold valid about equipotential surface(s) and/or line(s)? (A) The surface of a metallic conductor in electrostatic equilibrium is not an equipotential surface. (B) The work done by the electric field in moving a point charge along an equipotential surface vanishes. (C) If the equipotential surfaces are all parallel planes, it means that the electric field is unidirectional. (D) The equipotential surfaces of a charged metallic sphere, outside of it, are concentric spheres. (E) The component of the electric field parallel to the corresponding equipo- tential surface vanishes.arrow_forward
- 15-j1 the earth, assuming there is an outer spherical "plate" at infinity. (In reality, this outer plate would just represent some distant part of the universe to which we carried away some of the earth's charge in order to charge up the earth.) Find the capacitance of the surface ofarrow_forwardA spherical conductor of radius a and charge Q is concentric with spherical shell of negligible thickness, radius b > a, and charge -Q (as shown in the figure). Show that the capacitance of this cylindrical capacitor is C = 4πɛ0 ab/b-aarrow_forwardConsider the electric field in the vicinity of a solid charged conducting sphere. (a) Sketch a two-dimensional representation of the equipotential surfaces in the vicinity of the sphere. (b) What do these equipotential surfaces tell you about the electric field lines in the same area?arrow_forward
- A 31 m length of coaxial cable has a solid cylindrical wire inner conductor with a di- ameter of 2.168 mm and carries a charge of 10.02 µC. The surrounding conductor is a cylindrical shell and has an inner diameter of 11.534 mm and a charge of-10.02 C. What is the capacitance of this cable? As- sume the region between the conductors is air. The value of the Coulomb comstant is 8.98755 x 10° N m²/C. Answer in units of nF.arrow_forwardA dielectric sphere of radius a and permittivity ɛ is situated in vacuum and charged through its density by a volume charge density of free charges p = Po, R being the distance from the center of the sphere. Determine, a) Electrostatic energy of the system, b) Change in the electrostatic energy of the system if a point charge, Q, is added to the system at the center of the sphere.arrow_forwarda +15nC charge is at the origin. How much farther from the charge is the 2000V equipotential surface than the 3000V equipotential surfacearrow_forward
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