Problem 23.41
A metal sphere with radius ra is supported on an insulating stand at the center of a hollow, metal, spherical shell with radius rb. There is charge +q on the inner sphere and charge -q on the outer spherical shell. (a) Calculate the potential V1r2 for (i) r 6 ra; (ii) ra 6 r 6 rb; (iii) r 7 rb. (Hint: The net potential is the sum of the potentials due to the individual spheres.) Take V to be zero when r is infinite. (b) Show that the potential of the inner sphere with respect to the outer is Vab = q 4pP0 a 1 ra - 1 rb b (c) Use Eq. (23.23) and the result from part (a) to show that the electric field at any point between the spheres has magnitude E1r2 = Vab 11>ra - 1>rb2 1 r2 (d) Use Eq. (23.23) and the result from part (a) to find the electric field at a point outside the larger sphere at a distance r from the center, where r 7 rb. (e) Suppose the charge on the outer sphere is not -q but a negative charge of different magnitude, say -Q. Show that the answers for parts (b) and (c) are the same as before but the answer for part (d) is different

Step-by-Step Solution:
Step 1 of 3
Week 2 Monday, August 29, 2016 12:03 AM • Charging by rubbing- if you rub glass rod with silk, e- transfer from rod to silk leaves equal + charge on rod..only rubbed area is charged • Polarization: ○ In neutral atoms:center of + charge coincides w/ center of - charge ○ Charged atoms:centers separate from electric force Causes electric dipole(polarization) ○ Ex) neutral wall w + balloon…+ charged balloon will induce - charge on insulator(wall) • Coulomb's law- electric force has following properties: ○ Directed along line joining 2 charged particles ○ Inversely proportional to square of separation distance (r) btwn them Proportionalto product of mags of c

The full step-by-step solution to problem: 23.41 from chapter: 23 was answered by , our top Physics solution expert on 01/09/18, 07:46PM. Since the solution to 23.41 from 23 chapter was answered, more than 494 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: University Physics with Modern Physics (1), edition: 14. The answer to “A metal sphere with radius ra is supported on an insulating stand at the center of a hollow, metal, spherical shell with radius rb. There is charge +q on the inner sphere and charge -q on the outer spherical shell. (a) Calculate the potential V1r2 for (i) r 6 ra; (ii) ra 6 r 6 rb; (iii) r 7 rb. (Hint: The net potential is the sum of the potentials due to the individual spheres.) Take V to be zero when r is infinite. (b) Show that the potential of the inner sphere with respect to the outer is Vab = q 4pP0 a 1 ra - 1 rb b (c) Use Eq. (23.23) and the result from part (a) to show that the electric field at any point between the spheres has magnitude E1r2 = Vab 11>ra - 1>rb2 1 r2 (d) Use Eq. (23.23) and the result from part (a) to find the electric field at a point outside the larger sphere at a distance r from the center, where r 7 rb. (e) Suppose the charge on the outer sphere is not -q but a negative charge of different magnitude, say -Q. Show that the answers for parts (b) and (c) are the same as before but the answer for part (d) is different” is broken down into a number of easy to follow steps, and 217 words. This full solution covers the following key subjects: . This expansive textbook survival guide covers 44 chapters, and 4574 solutions. University Physics with Modern Physics (1) was written by and is associated to the ISBN: 9780321973610.