sky_tm
Junior Member level 1
vectors 2
The electric intensity of a electrostatic function \[V(x,y,z)\] is \[E = - \nabla V\]
The elecrostatic potential produced by a unit dipole-moment, located at the origin and directed along the y-axis, is given by
\[V(x,y,z) = \frac{y}{{(x^2 + y^2 + z^2 )^{3/2} }}\]
i) Determine the corresponding field-intensity function E.
ii) In what direction, does the potential decreases most rapidly from the point (4,2,4)?
The electric intensity of a electrostatic function \[V(x,y,z)\] is \[E = - \nabla V\]
The elecrostatic potential produced by a unit dipole-moment, located at the origin and directed along the y-axis, is given by
\[V(x,y,z) = \frac{y}{{(x^2 + y^2 + z^2 )^{3/2} }}\]
i) Determine the corresponding field-intensity function E.
ii) In what direction, does the potential decreases most rapidly from the point (4,2,4)?