The potential of an electric dipole at the origin is given by V=k9d -cos 0. 72 Compute the electric field E = -VV, where the two-dimensional del operator is given by 1 ə r 20 Ə Ver +eo- Suppose that the dipole as a +2.0 C and a -2.0 C separated by a distance of 0.10 × 10-¹⁰ m. Find the electric potential and electric field of the dipole at the distance of 3.0 × 10-10 m from the dipole at an angle of 0 = 7/3 from the e, direction. What is the magnitude and direction of the electric field? Note that er = e, sin + e, cos 0 and e = e cose, sin 0.

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The potential of an electric dipole at the origin is given by
gd
Compute the electric field E =
=
=
V = k-
p2
=
cos 0.
-VV, where the two-dimensional del operator is given by
1 ə
V er + eg=
ə
Ər
Suppose that the dipole as a +2.0 C and a -2.0 C separated by a distance of 0.10 × 10-10 m. Find the
electric potential and electric field of the dipole at the distance of 3.0 × 10-¹0 m from the dipole at an
angle of 0 = 7/3 from the e, direction. What is the magnitude and direction of the electric field? Note
that er
e sin + e, cos 0 and e
e cose sin 0.
r 20
Transcribed Image Text:The potential of an electric dipole at the origin is given by gd Compute the electric field E = = = V = k- p2 = cos 0. -VV, where the two-dimensional del operator is given by 1 ə V er + eg= ə Ər Suppose that the dipole as a +2.0 C and a -2.0 C separated by a distance of 0.10 × 10-10 m. Find the electric potential and electric field of the dipole at the distance of 3.0 × 10-¹0 m from the dipole at an angle of 0 = 7/3 from the e, direction. What is the magnitude and direction of the electric field? Note that er e sin + e, cos 0 and e e cose sin 0. r 20
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