4. In the rectangle shown at right, the sides have lengths w = 5.0 cm and h = 15 cm, 91=-5.0×106 coul and +2.0×106 coul. 92 = (a) What is the electric potential VB at corner B? What is VA at corner A? (b) How much work W is involved in moving a third charge, 93 = +3.0×106 coul from B to A along a diagonal of the rectangle? A 92 (c) In this process, is external work converted into electrostatic potential energy 91 or vice versa? Explain. B 5. Calculate (a) the electric potential established by the nucleus of a hydrogen atom at the mean distance of between electron and proton, r = 5.3×10-11 m, (b) the electric potential energy of the atom when the electron is at this radius, and (c) the kinetic energy of the electron, assuming it to be moving in a circular orbit of this radius centered on the nucleus. (d) How much energy is required to ionize the hydrogen atom? Express all energies in electron volts. 6. Two long, concentric, conducting cylinders, with radii a and b > a, support an electric potential given by V=Vo In (r/a) In(b/a) where r is the distance from the axis of the cylinders. From this, derive an expression for the electric field between the cylinders. a b

4. In the rectangle shown at right, the sides have lengths w = 5.0 cm and h = 15 cm, 91=-5.0×106 coul and +2.0×106 coul. 92 = (a) What is the electric potential VB at corner B? What is VA at corner A? (b) How much work W is involved in moving a third charge, 93 = +3.0×106 coul from B to A along a diagonal of the rectangle? A 92 (c) In this process, is external work converted into electrostatic potential energy 91 or vice versa? Explain. B 5. Calculate (a) the electric potential established by the nucleus of a hydrogen atom at the mean distance of between electron and proton, r = 5.3×10-11 m, (b) the electric potential energy of the atom when the electron is at this radius, and (c) the kinetic energy of the electron, assuming it to be moving in a circular orbit of this radius centered on the nucleus. (d) How much energy is required to ionize the hydrogen atom? Express all energies in electron volts. 6. Two long, concentric, conducting cylinders, with radii a and b > a, support an electric potential given by V=Vo In (r/a) In(b/a) where r is the distance from the axis of the cylinders. From this, derive an expression for the electric field between the cylinders. a b

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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