48. An electric dipole is located along the y axis as shown in Figure P24.48. The magnitude of its electric dipole moment is defined as p= 2aq. (a) At a point P, which is far from the dipole (r>> %3D a), show that the electric potential is V = kpcos0 (b) Calculate the radial component E, and the perpendicular component E, of the associated electric field. Note that E, =-(1/r)(@V/80). Do these results seem reasonable for (c) 0 = 90° and 0°? (d) For r = 0? (e) For the dipole arrangement shown in Figure P25.71, express V in terms * Cartesian coordinates using r = (x² +y³)"² and y cos 0 = (f) Using these results and again taking r>> a, calculate the field ? + y²)/2 components Ex and E,

48. An electric dipole is located along the y axis as shown in Figure P24.48. The magnitude of its electric dipole moment is defined as p= 2aq. (a) At a point P, which is far from the dipole (r>> %3D a), show that the electric potential is V = kpcos0 (b) Calculate the radial component E, and the perpendicular component E, of the associated electric field. Note that E, =-(1/r)(@V/80). Do these results seem reasonable for (c) 0 = 90° and 0°? (d) For r = 0? (e) For the dipole arrangement shown in Figure P25.71, express V in terms * Cartesian coordinates using r = (x² +y³)"² and y cos 0 = (f) Using these results and again taking r>> a, calculate the field ? + y²)/2 components Ex and E,

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter24: Electric Potential

Section: Chapter Questions

Problem 48CP: An electric dipole is located along the y axis as shown in Figure P24.48. The magnitude of its...

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