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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 = 2 aq.

(a) At a point P, which is far from the dipole (r>>a), show the electric potential is

 

(b) Calculate the radial component and the perpendicular component of the associated electric field.

(c) Do these results seem reasonable for theta= 90 degrees, theta = 0 degree

 

(d) Do these results seem reasonable for r= 0 

(e) For the dipole arrangement shown in the figure, express V in terms of cartesian coordinates using

 

 

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Vikas
VikasLv10
8 Mar 2021

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Related textbook solutions

Physics: Principles with Applications
7th Edition, 2013
Giancoli
ISBN: 9780321625922

Related questions

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 = 2 aq.

(a) At a point P, which is far from the dipole (r » a), shown that the electric potential is

.

(b) Calculate the radial component Er and the perpendicular component Eθ of the associated electric field. Note that Eθ = -(1/r)(∂V/∂θ). Do these results seem reasonable for

(c) θ=90º and 0º?

(d) For r = 0?

(e) For the dipole arrangement shown in Figure P24.48 express V in termes of Cartesian coordinates using r = (x2+y2)1/2 and

.

(f) Using these results and again taking r » a, calculate the field of components Ex and Ey.

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 =Kp cos θ /r2

 

(b) Calculate the radial component Er and the perpendicular component Eθ of the associated electric field. Note that Eθ = —(1/r) (∂V/∂r). Do these results seem reasonable for

(c) θ = 90° and 0°?

(d) For r= 0?

(e) For the dipole arrangement shown in Figure P24.48, express V in terms of Cartesian coordinates using r= (x2 + y2)1/2  and cosθ =y /(x2 + y2)1/2

and

(f) Using these results and again taking r>> a, calculate the field components; Ex and Ey. 

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