Matter & Interactions 2nd ed. Practice Problems Aaron Titus | High Point University home
(N)=# of solutions
 2d40002     1-D Superposition of dipole fields along axis     2d40002 View Question | View Solution | Download pdf| View Video Question Two dipoles are oriented as shown below. One dipole is made of opposite charges of magnitude , and the other dipole is made of opposite charges of magnitude . Both dipoles have a separation . Derive an equation for the net electric field at the point shown if the distance is much larger than the charge separation . (i.e. ) Figure: Two dipoles.

 Solution Sketch a picture of the electric field at the given point due to to each dipole, and sketch the net electric field. Figure: Net electric field due to two dipoles, along the axis of the dipoles. The electric field due to a dipole along the axis of the dipole, if the distance is much greater than the charge separation , is The electric field a distance from the first dipole has a magnitude Expressed as a vector, Similarly, the electric field a distance from the second dipole has a magnitude Expressed as a vector, The net electric field is given by the Superposition Principle: Note that it has a positive x-component, thus agreeing with our initial sketch of the net electric field at the given point.