УА Question #1: Electric field due to a dipole (30 points total) An electric dipole consists of a pair of point charges with equal magnitude and opposite sign, +Q and -Q, and separated by a distance 2a, as shown. a Part A (15 points): Show that at all points on the x-axis for which |x| » a, E - Qa 2περΧ3. a Qa Part B (15 points): Show that at all points on the y-axis for which |y| » a, E = πεον3"

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Question #1: Electric field due to a dipole (30 points total)
An electric dipole consists of a pair of point charges with equal
magnitude and opposite sign, +Q and -Q, and separated by a
distance 2a, as shown.
a
Part A (15 points): Show that at all points on the x-axis for
which |x| » a, E -
Qa
2περΧ3.
a
Qa
Part B (15 points): Show that at all points on the y-axis for which |y| » a, E =
πεον3"
Transcribed Image Text:УА Question #1: Electric field due to a dipole (30 points total) An electric dipole consists of a pair of point charges with equal magnitude and opposite sign, +Q and -Q, and separated by a distance 2a, as shown. a Part A (15 points): Show that at all points on the x-axis for which |x| » a, E - Qa 2περΧ3. a Qa Part B (15 points): Show that at all points on the y-axis for which |y| » a, E = πεον3"
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