Dipole consisting of two equal but opposite point charges separated by a distance "2L". The magnitude either dipole charge is, "qa". A vector quantity called the Electric Dipole Moment Vector ,p ,is defined to have a magnitude p = ()(separation distance of the dipole charges) and a unit vector direction pointing from negative to positve charge 1. Find the dipole moment vector "" 2. Find the Efield at the field point "P(x,y)" in terms of the distances and angles "r., 0- r., 0." 3. Find the Efield at the field point "P(x,y)" in terms of the distance and angle "R. and e" 4. Find the FAR FIELD approximation of the Efield by letting the field distance "R" become much much larger than the dipole separation "2L" (HINT: use the Binomial Approximation e) (X,Y) +Q e- (L,0) (-L,0)+ 2L
Dipole consisting of two equal but opposite point charges separated by a distance "2L". The magnitude either dipole charge is, "qa". A vector quantity called the Electric Dipole Moment Vector ,p ,is defined to have a magnitude p = ()(separation distance of the dipole charges) and a unit vector direction pointing from negative to positve charge 1. Find the dipole moment vector "" 2. Find the Efield at the field point "P(x,y)" in terms of the distances and angles "r., 0- r., 0." 3. Find the Efield at the field point "P(x,y)" in terms of the distance and angle "R. and e" 4. Find the FAR FIELD approximation of the Efield by letting the field distance "R" become much much larger than the dipole separation "2L" (HINT: use the Binomial Approximation e) (X,Y) +Q e- (L,0) (-L,0)+ 2L
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter24: Electric Fields
Section: Chapter Questions
Problem 28PQ: The electric field at a point on the perpendicular bisector of a charged rod was calculated as the...
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Dipole consisting of two equal but opposite point charges separated by a distance "2L". The magnitude either dipole charge is, "qa". A
vector quantity called the Electric Dipole Moment Vector .p ,is defined to have a magnitude p = (qa)(d) (d3 separation distance of the
dipole charges) and a unit vector direction pointing from negative to positve charge
1. Find the dipole moment vector "p"
2. Find the Efield at the field point "P(x,y)" in terms of the distances and angles "r., 0- r, 0,“
3. Find the Efield at the field point "P(x,y)" in terms of the distance and angle "R. and e"
4. Find the FAR FIELD approximation of the Efield by letting the field distance "R" become much much larger than the dipole
separation "2L"
(HINT: use the Binomial Approximation 2 )
(X.Y)
r+
+Q
-Q
(L,0)
(-L,0)4
2L
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