The important dipole field (to be addressed in Chapter 4) is expressed in spherical coordinates as =4 (2 cos 0 a, + sin0 ag) where A is a constant, and where r > 0. See Figure 4.9 for a sketch. (a) Identify the surface on which the field is entirely perpendicular to the xy plane and express the field on that surface in cylindrical coordinates. (b) Identify the coordinate axis on which the field is entirely perpendicular to the xy plane and express the field there in cylindrical coordinates. (c) Specify the surface on which the field is entirely parallel to the xy plane.

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1.27| The important dipole field (to be addressed in Chapter 4) is expressed in
spherical coordinates as
E =4 (2 cos 0 a, + sin 0 ag)
where A is a constant, and where r> 0. See Figure 4.9 for a sketch.
(a) Identify the surface on which the field is entirely perpendicular to the xy
plane and express the field on that surface in cylindrical coordinates.
(b) Identify the coordinate axis on which the field is entirely perpendicular
to the xy plane and express the field there in cylindrical coordinates.
(c) Specify the surface on which the field is entirely parallel to the xy plane.
Transcribed Image Text:1.27| The important dipole field (to be addressed in Chapter 4) is expressed in spherical coordinates as E =4 (2 cos 0 a, + sin 0 ag) where A is a constant, and where r> 0. See Figure 4.9 for a sketch. (a) Identify the surface on which the field is entirely perpendicular to the xy plane and express the field on that surface in cylindrical coordinates. (b) Identify the coordinate axis on which the field is entirely perpendicular to the xy plane and express the field there in cylindrical coordinates. (c) Specify the surface on which the field is entirely parallel to the xy plane.
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