Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
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 >> a), show that the electric potential is V=KePCos0 (b) Calculate the radial component E, and the perpendicular component E, of the associated electric field. Note that E, =-(1/r)(ðV/20). Do these results seem reasonable for (c) 0 = 90° and 0°? (d) For r = 0? (e) For the dipole arrangement

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 >> a), show that the electric potential is V=KePCos0 (b) Calculate the radial component E, and the perpendicular component E, of the associated electric field. Note that E, =-(1/r)(ðV/20). Do these results seem reasonable for (c) 0 = 90° and 0°? (d) For r = 0? (e) For the dipole arrangement

icon
Related questions
Question
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 >> a), show that the electric potential is V =- KePcos0 (b) Calculate the radial component E, and the perpendicular component E, of the associated electric field. Note that E, =-(1/r)(@V/20). 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 of Cartesian coordinates using r = (x² + y³)'/2 and cos e = o (f) Using these results and again taking r >> a, calculate the field (x² + y?)2 components E, and E,
Transcribed Image Text: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 >> a), show that the electric potential is V =- KePcos0 (b) Calculate the radial component E, and the perpendicular component E, of the associated electric field. Note that E, =-(1/r)(@V/20). 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 of Cartesian coordinates using r = (x² + y³)'/2 and cos e = o (f) Using these results and again taking r >> a, calculate the field (x² + y?)2 components E, and E,
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 9 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer