Consider the electric field arising from a dipole, consisting of two two charges
ID: 2989036 • Letter: C
Question
Consider the electric field arising from a dipole, consisting of two two charges having equal and opposite magnitudes, positioned at z = + or - d/2. In spherical coordinates, the field in free space is, in the far zone (z>>d).
E = ((qd)/(4*pi*Eo*r^3))*(2cos(theta)ar + sin(theta)ap))
a) By setting up and evaluating an appropriate line integral of E, find an expression for the potential difference between the two points P1(r1,theta1,phi1) and P2(r2,theta2,phi2). The differential length in spherical coordinates is given in general by dl = dr(ar) + r*dtheta(atheta) + r*sin(theta)dtheta(atheta).
Explanation / Answer
(a)
Consider the electric field arising from a dipole, consisting of two charges having equal and
opposite magnitudes,positioned at z =