a. Using AV = V(rf) – V(ri) : = ri – SE · dr determine the electric potential as a function of distance r from the center of the sphere for points outside the sphere r > R. Be sure to draw a diagram and label any quantities of interest. (Hint: Remember that V = 0 at r = ∞ so you will want to integrate from r = ∞ to rf = r. See page 716 of the text if you are having trouble.) b. Repeat this calculation for points inside the sphere r ≤ R. Be sure to draw a diagram and label any quantities of interest. (Hint: You need to integrate from r;= ∞ to rf = r, but remember that È has different values inside and outside the sphere.) C. Make a plot of V versus r and E versus r and note any similarities and/or Are there locations where E = 0 but V is nonzero? Explain. differences. dv d. Using E= -V - = - verify that you can get back the expression for E from dr the result of part a. dv e. Using E= -√V : = - verify that you can get back the expression for E from dr the result of north - -

a. Using AV = V(rf) – V(ri) : = ri – SE · dr determine the electric potential as a function of distance r from the center of the sphere for points outside the sphere r > R. Be sure to draw a diagram and label any quantities of interest. (Hint: Remember that V = 0 at r = ∞ so you will want to integrate from r = ∞ to rf = r. See page 716 of the text if you are having trouble.) b. Repeat this calculation for points inside the sphere r ≤ R. Be sure to draw a diagram and label any quantities of interest. (Hint: You need to integrate from r;= ∞ to rf = r, but remember that È has different values inside and outside the sphere.) C. Make a plot of V versus r and E versus r and note any similarities and/or Are there locations where E = 0 but V is nonzero? Explain. differences. dv d. Using E= -V - = - verify that you can get back the expression for E from dr the result of part a. dv e. Using E= -√V : = - verify that you can get back the expression for E from dr the result of north - -

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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