V = k cos 0. qd 72 Compute the electric field E = -VV, where the two-dimensional del operator is given by 18 rao V +eg- 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 e, = e, sin 0 + e, cos 0 and eg = e cos-e₂ sin 0.

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The potential of an electric dipole at the origin is given by
V = k cos 0.
qd
r2
Compute the electric field E = -VV, where the two-dimensional del operator is given by
18
Ə
Ər
r 20
= er
+ eg
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 e, = e, sin 0 + e, cos 0 and eg e cose, sin 0.
=
Transcribed Image Text:The potential of an electric dipole at the origin is given by V = k cos 0. qd r2 Compute the electric field E = -VV, where the two-dimensional del operator is given by 18 Ə Ər r 20 = er + eg 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 e, = e, sin 0 + e, cos 0 and eg e cose, sin 0. =
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